Francesco Colace, Dajana Conte, Gianluca Frasca-Caccia, Carmine Valentino
New technologies play a central role in damage prevention of artistic and cultural heritage. The literature is ourishing of mathematical models that describe the process of corrosion due to weathering and exposition to pollutants. These models consist of differential equations or partial differential equations that need to be solved approximately by numerical methods. This paper aims to describe the mathematical models in the literature and the numerical methods used for their solution. We focus in particular on the studies of corrosion of pieces of art made of stone, lime mortar concrete and metal.
{"title":"An Overview of Differential Models for Corrosion of Cultural Heritage Artefacts","authors":"Francesco Colace, Dajana Conte, Gianluca Frasca-Caccia, Carmine Valentino","doi":"10.1051/mmnp/2023031","DOIUrl":"https://doi.org/10.1051/mmnp/2023031","url":null,"abstract":"New technologies play a central role in damage prevention of artistic and cultural heritage. The literature is ourishing of mathematical models that describe the process of corrosion due to weathering and exposition to pollutants. These models consist of differential equations or partial differential equations that need to be solved approximately by numerical methods. This paper aims to describe the mathematical models in the literature and the numerical methods used for their solution. We focus in particular on the studies of corrosion of pieces of art made of stone, lime mortar concrete and metal.","PeriodicalId":18285,"journal":{"name":"Mathematical Modelling of Natural Phenomena","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135599541","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Rotating an axially symmetric rigid body on a horizontal plane is rather a common and simple experience, but this experience has attracted a great deal of interests due to it exhibiting novel features and containing fairly complicated mechanics. This paper is concerned with the threedimensional rotational motion of a rigid tube on a plane.We present the governing dynamical equations of this motion and give a numerical treatment, based on which we discuss the nutation of tube and simulate the trajectory of tube end. We also discuss how fast the angular velocity should be in order to initiate an uninterrupted, steady rotational motion. Then the air lift related to such a three-dimensional rotation of tube is modeled by using Kutta-Joukowski law. By employing this model, we show that the air lift indeed “lift” the tube head during rotating.
{"title":"On the dynamics of rotating rigid tube and its interaction with air","authors":"Yifan Liu","doi":"10.1051/mmnp/2023035","DOIUrl":"https://doi.org/10.1051/mmnp/2023035","url":null,"abstract":"Rotating an axially symmetric rigid body on a horizontal plane is rather a common and simple experience, but this experience has attracted a great deal of interests due to it exhibiting novel features and containing fairly complicated mechanics. This paper is concerned with the threedimensional rotational motion of a rigid tube on a plane.We present the governing dynamical equations of this motion and give a numerical treatment, based on which we discuss the nutation of tube and simulate the trajectory of tube end. We also discuss how fast the angular velocity should be in order to initiate an uninterrupted, steady rotational motion. Then the air lift related to such a three-dimensional rotation of tube is modeled by using Kutta-Joukowski law. By employing this model, we show that the air lift indeed “lift” the tube head during rotating.","PeriodicalId":18285,"journal":{"name":"Mathematical Modelling of Natural Phenomena","volume":"156 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135103463","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Yuan Shen, Bo Tian, Tian-Yu Zhou, Chong-Dong Cheng
Ferromagnetic materials such as the ferrites are used in the electronic and energy industries. Here, we concentrate on a complex Kraenkel-Manna-Merle system in a ferrite, under some coefficient constraints. An N -fold Darboux transformation of that system is presented via an existing Lax pair, where N is a positive integer. An N -fold generalized Darboux transformation, which admits one spectral parameter, is proposed through a limit procedure. One-, two- and three-soliton solutions of that system are determined via that N -fold Darboux transformation. The second-order and third-order degenerate soliton solutions of that system are derived via that N -fold generalized Darboux transformation. Those solitons are graphically represented for the magnetization and external magnetic field related to a ferrite.
{"title":"Complex Kraenkel-Manna-Merle system in a ferrite: <i>N</i>-fold Darboux transformation, generalized Darboux transformation and solitons","authors":"Yuan Shen, Bo Tian, Tian-Yu Zhou, Chong-Dong Cheng","doi":"10.1051/mmnp/2023029","DOIUrl":"https://doi.org/10.1051/mmnp/2023029","url":null,"abstract":"Ferromagnetic materials such as the ferrites are used in the electronic and energy industries. Here, we concentrate on a complex Kraenkel-Manna-Merle system in a ferrite, under some coefficient constraints. An N -fold Darboux transformation of that system is presented via an existing Lax pair, where N is a positive integer. An N -fold generalized Darboux transformation, which admits one spectral parameter, is proposed through a limit procedure. One-, two- and three-soliton solutions of that system are determined via that N -fold Darboux transformation. The second-order and third-order degenerate soliton solutions of that system are derived via that N -fold generalized Darboux transformation. Those solitons are graphically represented for the magnetization and external magnetic field related to a ferrite.","PeriodicalId":18285,"journal":{"name":"Mathematical Modelling of Natural Phenomena","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135556395","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Epidemic source detection is the problem of identifying the network node that originated an epidemic from a partial observation of the epidemic process. The problem finds applications in different contexts, such as detecting the origin of rumors in online social media, and has been studied under various assumptions. Different from prior studies, this work considers an epidemic process on a finite graph that starts on a random node (epidemic source) and terminates when all nodes are infected, yielding a rooted and directed epidemic tree that encodes node infections. Assuming knowledge of the underlying graph and the undirected spanning tree, can the epidemic source be accurately identified? This work tackles this problem by introducing the epicenter , an efficient estimator for the epidemic source. When the underlying graph is vertex-transitive the epicenter can be computed in linear time and it coincides with the well-known distance center of the epidemic tree. Moreover, on a complete graph the epicenter is also the most likely estimator for the source. Finally, the accuracy of the epicenter is evaluated numerically on five different graph models and the performance strongly depends on the graph structure, varying from 31% (complete graphs) to 13% (sparse power law graphs).
{"title":"Epicenter of Random Epidemic Spanning Trees on Finite Graphs","authors":"G. Iacobelli, Daniel Ratton Figueiredo","doi":"10.1051/mmnp/2022048","DOIUrl":"https://doi.org/10.1051/mmnp/2022048","url":null,"abstract":"Epidemic source detection is the problem of identifying the network node that originated an epidemic from a partial observation of the epidemic process. The problem finds applications in different contexts, such as detecting the origin of rumors in online social media, and has been studied under various assumptions. Different from prior studies, this work considers an epidemic process on a finite graph that starts on a random node (epidemic source) and terminates when all nodes are infected, yielding a rooted and directed epidemic tree that encodes node infections. Assuming knowledge of the underlying graph and the undirected spanning tree, can the epidemic source be accurately identified? This work tackles this problem by introducing the epicenter , an efficient estimator for the epidemic source. When the underlying graph is vertex-transitive the epicenter can be computed in linear time and it coincides with the well-known distance center of the epidemic tree. Moreover, on a complete graph the epicenter is also the most likely estimator for the source. Finally, the accuracy of the epicenter is evaluated numerically on five different graph models and the performance strongly depends on the graph structure, varying from 31% (complete graphs) to 13% (sparse power law graphs).","PeriodicalId":18285,"journal":{"name":"Mathematical Modelling of Natural Phenomena","volume":" ","pages":""},"PeriodicalIF":2.2,"publicationDate":"2022-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42602477","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Ana Nino-L'opez, Salvador Chuli'an, 'Alvaro Mart'inez-Rubio, Cristina Bl'azquez-Goni, Mar'ia Rosa
Acute Lymphoblastic Leukemia (ALL) accounts for the 80% of leukemias when coming down to pediatric ages. Survival of these patients has increased by a considerable amount in recent years. However, around 15−20% of treatments are unsuccessful. For this reason, it is definitely required to come up with new strategies to study and select which patients are at higher risk of relapse. Thus the importance to monitor the amount of leukemic cells to predict relapses in the first treatment phase. In this work we develop a mathematical model describing the behavior of ALL, examining the evolution of a leukemic clone when treatment is applied. In the study of this model it can be observed how the risk of relapse is connected with the response in the first treatment phase. This model is able to simulate cell dynamics without treatment, representing a virtual patient bone marrow behavior. Furthermore, several parameters are related to treatment dynamics, therefore proposing a basis for future works regarding childhood ALL survival improvement.
{"title":"Mathematical Modeling of Leukemia Chemotherapy in Bone Marrow","authors":"Ana Nino-L'opez, Salvador Chuli'an, 'Alvaro Mart'inez-Rubio, Cristina Bl'azquez-Goni, Mar'ia Rosa","doi":"10.1051/mmnp/2023022","DOIUrl":"https://doi.org/10.1051/mmnp/2023022","url":null,"abstract":"Acute Lymphoblastic Leukemia (ALL) accounts for the 80% of leukemias when coming down to pediatric ages. Survival of these patients has increased by a considerable amount in recent years. However, around 15−20% of treatments are unsuccessful. For this reason, it is definitely required to come up with new strategies to study and select which patients are at higher risk of relapse. Thus the importance to monitor the amount of leukemic cells to predict relapses in the first treatment phase.\u0000In this work we develop a mathematical model describing the behavior of ALL, examining the evolution of a leukemic clone when treatment is applied. In the study of this model it can be observed how the risk of relapse is connected with the response in the first treatment phase. This model is able to simulate cell dynamics without treatment, representing a virtual patient bone marrow behavior. Furthermore, several parameters are related to treatment dynamics, therefore proposing a basis for future works regarding childhood ALL survival improvement.","PeriodicalId":18285,"journal":{"name":"Mathematical Modelling of Natural Phenomena","volume":"1 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2022-11-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"57787153","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Two models of recrystallization are proposed taking into account the convective flux of impurity exchange between the polycrystalline and the thin-film coating. The special boundary modes of recrystallization described by the single-phase and two-phase Stefan problems with the boundary condition at coated surface containing the convective term. The exact solutions of the formulated problems corresponding to the grain-boundary concentration of impurities are obtained. The detail theoretical analysis focused on the third type problem shows that the concentration of impurities and the width of the recrystallized layer increase with an increase in the annealing time. An increase in intensity of impurity exchange between the polycrystalline and the coating promotes an increase in the width of the recrystallized layer. The recrystallization front position increases with an increase in the surface concentration of impurities and it decreases with an increase in the intensity of the impurity flux from the surface. The rate of recrystallization kinetics increases with an increase in the intensity of impurity exchange between the polycrystalline and the coating
{"title":"Models of recrystallization activated by a diffusion flow of impurities from a thin-film coating with a convection term at the crystal surface: exact solutions","authors":"S. Savotchenko, A. Cherniakov","doi":"10.1051/mmnp/2022046","DOIUrl":"https://doi.org/10.1051/mmnp/2022046","url":null,"abstract":"Two models of recrystallization are proposed taking into account the convective flux of impurity exchange between the polycrystalline and the thin-film coating. The special boundary modes of recrystallization described by the single-phase and two-phase Stefan problems with the boundary condition at coated surface containing the convective term. The exact solutions of the formulated problems corresponding to the grain-boundary concentration of impurities are obtained. The detail theoretical analysis focused on the third type problem shows that the concentration of impurities and the width of the recrystallized layer increase with an increase in the annealing time. An increase in intensity of impurity exchange between the polycrystalline and the coating promotes an increase in the width of the recrystallized layer. The recrystallization front position increases with an increase in the surface concentration of impurities and it decreases with an increase in the intensity of the impurity flux from the surface. The rate of recrystallization kinetics increases with an increase in the intensity of impurity exchange between the polycrystalline and the coating","PeriodicalId":18285,"journal":{"name":"Mathematical Modelling of Natural Phenomena","volume":" ","pages":""},"PeriodicalIF":2.2,"publicationDate":"2022-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44954613","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The interaction of high-order breather, periodic-wave, lump, rational soliton solutions and mixed solutions for reductions of the (4+1)-dimensional Fokas equation are investigated by means of the Kadomtsev-Petviashvili (KP) hierarchy reduction method. Through analyzing the structural characteristics of periodic wave solutions, we find that evolution of the breather is decided by two characteristic lines. Interestingly, growingdecaying amplitude periodic wave and amplitude-invariant periodic wave are given through some conditions posed on the parameters. Some fascinating nonlinear wave patterns composed of high-order breathers and high-order periodic waves are shown. Furthermore, taking the long wave limit on the periodic-wave solutions, the semi-rational solutions composed of lumps, moving solitons, breathers, and periodic waves are obtained. Some novel dynamical processes are graphically analyzed. Additionally, we provide a new method to derive periodic-wave and semi-rational solutions for the (3+1)-dimensional KP equation by reducing the solutions of the (4+1)-dimensional Fokas equation. The presented results might help to understand the dynamic behaviors of nonlinear waves in the fluid fields and may provide some new perspectives for studying nonlinear wave solutions of high dimensional integrable systems.
{"title":"Interaction of high-order breather, periodic wave, lump, rational soliton solutions and mixed solutions for reductions of the (4+1)-dimensional Fokas equation","authors":"P. Xia, Yi Zhang, Rusuo Ye","doi":"10.1051/mmnp/2022047","DOIUrl":"https://doi.org/10.1051/mmnp/2022047","url":null,"abstract":"The interaction of high-order breather, periodic-wave, lump, rational soliton solutions and mixed solutions for reductions of the (4+1)-dimensional Fokas equation are investigated by means of the Kadomtsev-Petviashvili (KP) hierarchy reduction method. Through analyzing the structural characteristics of periodic wave solutions, we find that evolution of the breather is decided by two characteristic lines. Interestingly, growingdecaying amplitude periodic wave and amplitude-invariant periodic wave are given through some conditions posed on the parameters. Some fascinating nonlinear wave patterns composed of high-order breathers and high-order periodic waves are shown. Furthermore, taking the long wave limit on the periodic-wave solutions, the semi-rational solutions composed of lumps, moving solitons, breathers, and periodic waves are obtained. Some novel dynamical processes are graphically analyzed. Additionally, we provide a new method to derive periodic-wave and semi-rational solutions for the (3+1)-dimensional KP equation by reducing the solutions of the (4+1)-dimensional Fokas equation. The presented results might help to understand the dynamic behaviors of nonlinear waves in the fluid fields and may provide some new perspectives for studying nonlinear wave solutions of high dimensional integrable systems.","PeriodicalId":18285,"journal":{"name":"Mathematical Modelling of Natural Phenomena","volume":" ","pages":""},"PeriodicalIF":2.2,"publicationDate":"2022-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46866717","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We derive a Hamiltonian form of the fourth-order (extended) nonlinear Schrödinger equation (NLSE) in a nonlinear Klein-Gordon model with quadratic and cubic nonlinearities. This equation describes the propagation of the envelope of slowly modulated wave packets approximated by a superposition of the fundamental, second, and zeroth harmonics. Although extended NLSEs are not generally Hamiltonian PDEs, the equation derived here is a Hamiltonian PDE that preserves the Hamiltonian structure of the original nonlinear Klein-Gordon equation. This could be achieved by expressing the fundamental harmonic and its first derivative in symplectic form, with the second and zeroth harmonics calculated from the variational principle. We demonstrate that the non-Hamiltonian form of the extended NLSE under discussion can be retrieved by a simple transformation of variables.
{"title":"Hamiltonian form of an extended nonlinear Schrödinger equation for modelling the wave field in a system with quadratic and cubic nonlinearities","authors":"Y. Sedletsky, I. Gandzha","doi":"10.1051/mmnp/2022044","DOIUrl":"https://doi.org/10.1051/mmnp/2022044","url":null,"abstract":"We derive a Hamiltonian form of the fourth-order (extended) nonlinear Schrödinger equation (NLSE) in a nonlinear Klein-Gordon model with quadratic and cubic nonlinearities. This equation describes the propagation of the envelope of slowly modulated wave packets approximated by a superposition of the fundamental, second, and zeroth harmonics. Although extended NLSEs are not generally Hamiltonian PDEs, the equation derived here is a Hamiltonian PDE that preserves the Hamiltonian structure of the original nonlinear Klein-Gordon equation. This could be achieved by expressing the fundamental harmonic and its first derivative in symplectic form, with the second and zeroth harmonics calculated from the variational principle. We demonstrate that the non-Hamiltonian form of the extended NLSE under discussion can be retrieved by a simple transformation of variables.","PeriodicalId":18285,"journal":{"name":"Mathematical Modelling of Natural Phenomena","volume":" ","pages":""},"PeriodicalIF":2.2,"publicationDate":"2022-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46824157","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this article, we examine the mechanism of cobalt and tantalum nanoparticles through a hybrid fluid model. The nanofluid is propagating through an anisotropically tapered artery with three different configurations: converging, diverging and non-tapered. To examine the rheology of the blood we have incorporated a Williamson fluid model which reveals both Newtonian and non-Newtonian effects. Mathematical and physical formulations are derived using the lubrication approach for continuity, momentum and energy equations. The impact of magnetic field, porosity and viscous dissipation are also taken into the proposed formulation. A perturbation approach is used to determine the solutions of the formulated nonlinear coupled equations. The physical behavior of all the leading parameters is discussed for velocity, temperature, impedance and streamlines profile. The current analysis has the intention to be used in therapeutic treatments of anemia because cobalt promotes the production of red blood cells since it is a component of vitamin B12, this is in addition to having tantalum that is used in the bone implants and in the iodinated agents for blood imaging due to its long circulation time.
{"title":"Scientific breakdown of a ferromagnetic nanofluid in hemodynamics: Enhanced therapeutic approach","authors":"M. M. Bhatti, S. Abdelsalam","doi":"10.1051/mmnp/2022045","DOIUrl":"https://doi.org/10.1051/mmnp/2022045","url":null,"abstract":"In this article, we examine the mechanism of cobalt and tantalum nanoparticles through a hybrid fluid model. The nanofluid is propagating through an anisotropically tapered artery with three different configurations: converging, diverging and non-tapered. To examine the rheology of the blood we have incorporated a Williamson fluid model which reveals both Newtonian and non-Newtonian effects. Mathematical and physical formulations are derived using the lubrication approach for continuity, momentum and energy equations. The impact of magnetic field, porosity and viscous dissipation are also taken into the proposed formulation. A perturbation approach is used to determine the solutions of the formulated nonlinear coupled equations. The physical behavior of all the leading parameters is discussed for velocity, temperature, impedance and streamlines profile. The current analysis has the intention to be used in therapeutic treatments of anemia because cobalt promotes the production of red blood cells since it is a component of vitamin B12, this is in addition to having tantalum that is used in the bone implants and in the iodinated agents for blood imaging due to its long circulation time.","PeriodicalId":18285,"journal":{"name":"Mathematical Modelling of Natural Phenomena","volume":" ","pages":""},"PeriodicalIF":2.2,"publicationDate":"2022-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48634895","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In Southern Italy, since 2013, there has been an ongoing Olive Quick Decline Syndrome (OQDS) outbreak, due to the bacterium {it Xylella fastidiosa}, which has caused a dramatic impact from both socio-economic and environmental points of view. Current agronomic practices are mainly based on uprooting the sick olive trees and their surrounding ones, with later installment of olive cultivars more resistant to the bacterium infection. Unfortunately, both of these practices are having an undesirable impact on the environment and on the economy. Here, a spatially structured mathematical model has been proposed to include a predator {it Zelus renardii } as a possible biocontrol agent of the {it Xylella} epidemic. The fact that {it Z. renardii} has been reported to be a generalist predator implies that its introduction is not an efficient control strategy to eradicate a {it Xylella} epidemic. Instead, a specialist predator, whenever identified, would lead to the eventual eradication of a {it Xylella} epidemic. In either cases it has been confirmed that a significant reduction of the weed biomass can lead to the eradication of the vector population, hence of a {it Xylella} epidemic, independently of the presence of predators.
{"title":"Predators as a possible strategy for controlling a {it Xylella} epidemic?","authors":"V. Capasso, S. Anita, Simone Scacchi, M. Montagna","doi":"10.1051/mmnp/2022043","DOIUrl":"https://doi.org/10.1051/mmnp/2022043","url":null,"abstract":"In Southern Italy, since 2013, there has been an ongoing Olive\u0000\u0000Quick Decline Syndrome (OQDS) outbreak, due to the bacterium {it\u0000\u0000Xylella fastidiosa},\u0000\u0000 which has caused a dramatic impact from both socio-economic and environmental points of view.\u0000\u0000\u0000\u0000 Current agronomic practices are mainly based on uprooting the sick olive trees and their surrounding ones,\u0000\u0000 with later installment of olive cultivars more resistant to the bacterium infection.\u0000\u0000 Unfortunately, both of these practices are having an undesirable impact on the environment and on the economy.\u0000Here, a spatially structured\u0000\u0000mathematical model has been proposed to include a predator {it Zelus renardii } as a possible biocontrol agent of the {it\u0000\u0000Xylella} epidemic. The fact that {it Z. renardii} has been\u0000\u0000reported to be a generalist predator implies that\u0000\u0000its introduction is not an efficient control strategy to eradicate a\u0000\u0000{it Xylella} epidemic. Instead, a specialist predator, whenever\u0000\u0000identified, would lead to the eventual eradication of a {it\u0000\u0000Xylella} epidemic. In either cases it has been confirmed that a significant\u0000\u0000reduction of the weed biomass can lead to the eradication of\u0000\u0000the vector population, hence of a {it Xylella} epidemic,\u0000\u0000independently of the presence of predators.","PeriodicalId":18285,"journal":{"name":"Mathematical Modelling of Natural Phenomena","volume":" ","pages":""},"PeriodicalIF":2.2,"publicationDate":"2022-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48521765","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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