. Agent-based models can be used to describe a wide range of complex systems, in which the constituent elements (agents) communicate with one another and the system’s global dynamics are governed by the local interactions among the agents. Because formal analysis of complex multi-agent systems is challenging, computer simulations are frequently used to investigate them. While computer simulations are extremely valuable, their results are not formally validated by the observed behavior. As a result, a mathematical framework for representing multi-agent systems and formally establishing their properties is required. One such framework is that which translate the Agent based model to polynomial dynamical system. The aim of this work is to represent our existing Agent based model for the interaction of proteins within cancer cell using mathematical formulation and to analyze its dynamic.
{"title":"Mathematical formalism for agent-based model of proteins interaction inside cancer cell","authors":"Samir Zouhri, Mohcine El Baroudi","doi":"10.28919/cmbn/7720","DOIUrl":"https://doi.org/10.28919/cmbn/7720","url":null,"abstract":". Agent-based models can be used to describe a wide range of complex systems, in which the constituent elements (agents) communicate with one another and the system’s global dynamics are governed by the local interactions among the agents. Because formal analysis of complex multi-agent systems is challenging, computer simulations are frequently used to investigate them. While computer simulations are extremely valuable, their results are not formally validated by the observed behavior. As a result, a mathematical framework for representing multi-agent systems and formally establishing their properties is required. One such framework is that which translate the Agent based model to polynomial dynamical system. The aim of this work is to represent our existing Agent based model for the interaction of proteins within cancer cell using mathematical formulation and to analyze its dynamic.","PeriodicalId":44079,"journal":{"name":"Communications in Mathematical Biology and Neuroscience","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69236395","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Poisson-Lognormal model with measurement error in covariate for small area estimation of count data","authors":"F. Novkaniza, K. Notodiputro, K. Sadik, I. Mangku","doi":"10.28919/cmbn/7779","DOIUrl":"https://doi.org/10.28919/cmbn/7779","url":null,"abstract":",","PeriodicalId":44079,"journal":{"name":"Communications in Mathematical Biology and Neuroscience","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69237892","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
M. Hafdane, J. Collera, I. Agmour, Y. E. Foutayeni
. In this study, we take into account a predator-prey system with two delays, the prey is sea urchins and the predator is crabs. The focus is given to the Allee effect where the prey population undergoes, the poisoning of few predators, and a fishing effect on both species considered as selective for the prey. We aim to analyze the system’s stability around interior equilibrium using the theory of bifurcations and determine stability intervals related to delays. The theory of normal form and the center manifold are used to determine the direction of the bifurcations. Finally, numerical simulations are given by numerical methods in DDE-Biftool Matlab package to illustrate the theoretical results.
{"title":"Hopf bifurcation for delayed prey-predator system with Allee effect","authors":"M. Hafdane, J. Collera, I. Agmour, Y. E. Foutayeni","doi":"10.28919/cmbn/7921","DOIUrl":"https://doi.org/10.28919/cmbn/7921","url":null,"abstract":". In this study, we take into account a predator-prey system with two delays, the prey is sea urchins and the predator is crabs. The focus is given to the Allee effect where the prey population undergoes, the poisoning of few predators, and a fishing effect on both species considered as selective for the prey. We aim to analyze the system’s stability around interior equilibrium using the theory of bifurcations and determine stability intervals related to delays. The theory of normal form and the center manifold are used to determine the direction of the bifurcations. Finally, numerical simulations are given by numerical methods in DDE-Biftool Matlab package to illustrate the theoretical results.","PeriodicalId":44079,"journal":{"name":"Communications in Mathematical Biology and Neuroscience","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69240126","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Soukaina Hilal, I. Khaloufi, H. Boutayeb, R. Bouajaji
. In this study, we propose a new modified discrete-time epidemic model that characterizes the diffusion of information and its impact on the agreement/disagreement model. So the goal is to increase the amount of information to influence people’s opinions. To do this, we proposed a control strategy based on the increase in the number of posts that influence people to agree with the subject studied (election, vaccine against COVID 19). The Pontryagin maximum principle is used to describe optimal control. Finally, numerical simulations are performed to verify the theoretical analysis using MATLAB
{"title":"A new discrete-time epidemic model describing information spread and its impact on the agree-disagree model","authors":"Soukaina Hilal, I. Khaloufi, H. Boutayeb, R. Bouajaji","doi":"10.28919/cmbn/7973","DOIUrl":"https://doi.org/10.28919/cmbn/7973","url":null,"abstract":". In this study, we propose a new modified discrete-time epidemic model that characterizes the diffusion of information and its impact on the agreement/disagreement model. So the goal is to increase the amount of information to influence people’s opinions. To do this, we proposed a control strategy based on the increase in the number of posts that influence people to agree with the subject studied (election, vaccine against COVID 19). The Pontryagin maximum principle is used to describe optimal control. Finally, numerical simulations are performed to verify the theoretical analysis using MATLAB","PeriodicalId":44079,"journal":{"name":"Communications in Mathematical Biology and Neuroscience","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69242564","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
M. Hafdane, Hamza Boutayeb, I. Agmour, Y. E. Foutayeni, N. Achtaich
. This study focuses on a predator-prey model that includes a Cleaner Fish. It highlights the crucial role of the Cleaner Fish in the system dynamics, as well as the effect of fishing on the three species. The analysis begins by studying the positivity and boundedness of the solutions to ensure that the populations remain present and limited. The stability of the system is examined around the interior equilibrium point, which represents a state where the populations of prey, predators, and Cleaner Fish maintain balance. The optimal harvesting policy is also investigated, aiming to find the fishing strategy that maximizes the dynamic profit of the species while preserving their sustainability. Finally, numerical simulations using Matlab software are conducted to illustrate the theoretical results obtained.
{"title":"The role of cleaner fish in a predator-prey model: dynamics and optimal harvesting","authors":"M. Hafdane, Hamza Boutayeb, I. Agmour, Y. E. Foutayeni, N. Achtaich","doi":"10.28919/cmbn/8048","DOIUrl":"https://doi.org/10.28919/cmbn/8048","url":null,"abstract":". This study focuses on a predator-prey model that includes a Cleaner Fish. It highlights the crucial role of the Cleaner Fish in the system dynamics, as well as the effect of fishing on the three species. The analysis begins by studying the positivity and boundedness of the solutions to ensure that the populations remain present and limited. The stability of the system is examined around the interior equilibrium point, which represents a state where the populations of prey, predators, and Cleaner Fish maintain balance. The optimal harvesting policy is also investigated, aiming to find the fishing strategy that maximizes the dynamic profit of the species while preserving their sustainability. Finally, numerical simulations using Matlab software are conducted to illustrate the theoretical results obtained.","PeriodicalId":44079,"journal":{"name":"Communications in Mathematical Biology and Neuroscience","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69245751","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
: In this study, an ordinal spline logistic regression model was developed and used to classify data on the nutritional status of children under five in the Gowa district, Indonesia. The nutritional status of toddlers consists of 3 categories: malnutrition, good nutrition, and excess nutrition. So nutritional status data for toddlers can be modeled by ordinal spline logistic regression. The results of this study indicate that the data on the nutritional status of children is optimal in the ordinal spline logistic regression model using 2-knot points with a GCV value of 0.2158. The estimation results of the ordinal spline logistic regression model show that toddlers aged 18 months and 24 months tend to have a good chance of getting good nutrition. In comparison, toddlers aged 18 to 24 months tend to have a minimal chance of getting good nutrition, and the accuracy of the classification model of the nutritional status of toddlers uses the ordinal spline logistic regression of 92.25%.
{"title":"Ability of ordinal spline logistic regression model in the classification of nutritional status data","authors":"S. Arifin, Anna Islamiyati, E. T. Herdiani","doi":"10.28919/cmbn/8072","DOIUrl":"https://doi.org/10.28919/cmbn/8072","url":null,"abstract":": In this study, an ordinal spline logistic regression model was developed and used to classify data on the nutritional status of children under five in the Gowa district, Indonesia. The nutritional status of toddlers consists of 3 categories: malnutrition, good nutrition, and excess nutrition. So nutritional status data for toddlers can be modeled by ordinal spline logistic regression. The results of this study indicate that the data on the nutritional status of children is optimal in the ordinal spline logistic regression model using 2-knot points with a GCV value of 0.2158. The estimation results of the ordinal spline logistic regression model show that toddlers aged 18 months and 24 months tend to have a good chance of getting good nutrition. In comparison, toddlers aged 18 to 24 months tend to have a minimal chance of getting good nutrition, and the accuracy of the classification model of the nutritional status of toddlers uses the ordinal spline logistic regression of 92.25%.","PeriodicalId":44079,"journal":{"name":"Communications in Mathematical Biology and Neuroscience","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69245921","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
: This study analyzes the Susceptibles Infected Recovered Death (SIRD) epidemic model of COVID-19 transmission by considering vaccination in Indonesia. The SIRD epidemic mathematical model divided the population into four compartments, including susceptible compartment, infected compartment, recovered compartment
{"title":"Analyzing and estimating parameters of COVID-19 transmission with vaccination in Indonesia","authors":"Rince Putri, Zulistia Nabila, Susila Bahri","doi":"10.28919/cmbn/8128","DOIUrl":"https://doi.org/10.28919/cmbn/8128","url":null,"abstract":": This study analyzes the Susceptibles Infected Recovered Death (SIRD) epidemic model of COVID-19 transmission by considering vaccination in Indonesia. The SIRD epidemic mathematical model divided the population into four compartments, including susceptible compartment, infected compartment, recovered compartment","PeriodicalId":44079,"journal":{"name":"Communications in Mathematical Biology and Neuroscience","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69246922","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper, a model describing the dynamics of Cryptosporidiosis is developed and analysed using ordinary differential equations with a non linear incidence called Beddington-DeAngelis function. We computed the basic reproduction number (Rha) using the next generation matrix method and carry out the stability analysis of the model equilibria. We applied the center manifold theory to investigate the local stability of the endemic equilibrium and found that the model exhibits a forward bifurcation at Rha=1. Further, the global stability of the endemic equilibrium is obtained under a certain condition using Lyapunov’s method and LaSalle’S invariance principle. The most sensitive parameters on the model outcome are also identified using the normalized forward sensitivity index. Finally, we performed numerical simulations and displayed then graphically to validate our analytical results, and the epidemiological implications of the key out comes were briefly discussed.
{"title":"Modeling and stability analysis of cryptosporidiosis transmission dynamics with Beddington-Deangelis incidence","authors":"","doi":"10.28919/cmbn/8154","DOIUrl":"https://doi.org/10.28919/cmbn/8154","url":null,"abstract":"In this paper, a model describing the dynamics of Cryptosporidiosis is developed and analysed using ordinary differential equations with a non linear incidence called Beddington-DeAngelis function. We computed the basic reproduction number (Rha) using the next generation matrix method and carry out the stability analysis of the model equilibria. We applied the center manifold theory to investigate the local stability of the endemic equilibrium and found that the model exhibits a forward bifurcation at Rha=1. Further, the global stability of the endemic equilibrium is obtained under a certain condition using Lyapunov’s method and LaSalle’S invariance principle. The most sensitive parameters on the model outcome are also identified using the normalized forward sensitivity index. Finally, we performed numerical simulations and displayed then graphically to validate our analytical results, and the epidemiological implications of the key out comes were briefly discussed.","PeriodicalId":44079,"journal":{"name":"Communications in Mathematical Biology and Neuroscience","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135401838","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
. Abstract: Stunting is a chronic nutritional problem in toddlers characterized by a shorter height than other children of their age. Stunting is a major nutritional problem faced by Indonesia. This research aimed to develop a risk model for the incidence of stunting in toddlers. This research was conducted in the village of stunting locus in the Public Health Center area that was selected to be the sample in Probolinggo District. Data were collected in the villages of Alaspandan, Bucorwetan, Petunjungan
{"title":"Stunting determinants among toddlers in Probolinggo district of Indonesia using parametric and nonparametric ordinal logistic regression models","authors":"M. Rifada, N. Chamidah, R. A. Ningrum, L. Muniroh","doi":"10.28919/cmbn/6690","DOIUrl":"https://doi.org/10.28919/cmbn/6690","url":null,"abstract":". Abstract: Stunting is a chronic nutritional problem in toddlers characterized by a shorter height than other children of their age. Stunting is a major nutritional problem faced by Indonesia. This research aimed to develop a risk model for the incidence of stunting in toddlers. This research was conducted in the village of stunting locus in the Public Health Center area that was selected to be the sample in Probolinggo District. Data were collected in the villages of Alaspandan, Bucorwetan, Petunjungan","PeriodicalId":44079,"journal":{"name":"Communications in Mathematical Biology and Neuroscience","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69228694","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Y. Jabrani, R. Bouajaji, H. Laarabi, M. Rachik, A. Abta
. This study proposes a corona pandemic model that incorporates both reported and unreported cases of virus to be more realistic. In addition, it is advised to employ both preventive measures: vaccination and treatment and applied them at the simultaneously. The optimal controls were characterized with the maximum Pontryagin principle. Finally, the results of the numerical simulations demonstrate the utility of the proposed control mechanisms and this modeling
{"title":"Optimal control of a new corona virus model","authors":"Y. Jabrani, R. Bouajaji, H. Laarabi, M. Rachik, A. Abta","doi":"10.28919/cmbn/7846","DOIUrl":"https://doi.org/10.28919/cmbn/7846","url":null,"abstract":". This study proposes a corona pandemic model that incorporates both reported and unreported cases of virus to be more realistic. In addition, it is advised to employ both preventive measures: vaccination and treatment and applied them at the simultaneously. The optimal controls were characterized with the maximum Pontryagin principle. Finally, the results of the numerical simulations demonstrate the utility of the proposed control mechanisms and this modeling","PeriodicalId":44079,"journal":{"name":"Communications in Mathematical Biology and Neuroscience","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69238923","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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