Pub Date : 2024-02-23DOI: 10.1142/s0218339024500219
Yanan Sun, Youming Lei, Xinzhi Liu
{"title":"Effects of Anti-Predator Behavior on a Stochastic Predator-Prey System","authors":"Yanan Sun, Youming Lei, Xinzhi Liu","doi":"10.1142/s0218339024500219","DOIUrl":"https://doi.org/10.1142/s0218339024500219","url":null,"abstract":"","PeriodicalId":54872,"journal":{"name":"Journal of Biological Systems","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140436255","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}
Pub Date : 2024-02-23DOI: 10.1142/s0218339024500207
Feng Rao, Anqi Wang, Zhanyu Wang
{"title":"The Impact of Stochastic Environment on Psychological Health Dynamics","authors":"Feng Rao, Anqi Wang, Zhanyu Wang","doi":"10.1142/s0218339024500207","DOIUrl":"https://doi.org/10.1142/s0218339024500207","url":null,"abstract":"","PeriodicalId":54872,"journal":{"name":"Journal of Biological Systems","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140436288","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}
Pub Date : 2024-02-06DOI: 10.1142/s0218339024500153
Ani Jain, Parimita Roy
One of the significant causes of death globally is cancer ( http://www.who.org/ ). Another critical problem is obesity, which is associated with an increased cancer threat. This work provides insight into how obesity contributes to cancer progression and metastasis. We developed a diffusive obesity-cancer model consisting of cancer cells, normal cells, fat cells, macrophages, and an extracellular matrix (ECM) for this aim. We have directed the formed model’s global existence and non-negativity. Equilibrium points for the related ODE are calculated, and its existence and stability study is also done. We present a traveling wave analysis of the obesity-cancer model and have calculated the minimum wave speed. Using a combination of analytic and numerical results of traveling waves, we conjecture that the minimal wave speed depends on fat cells’ diffusive rate and haptotaxis coefficient. We followed the theory of the Partial Rank Correlation Coefficient (PRCC) to carry out a global sensitivity analysis to evaluate the most sensitive parameters reliable for cancer progression. We delivered a comprehensive numerical analysis of our deterministic and diffusive models (in 1D and 2D) and analogized the result. Numerical simulation of corresponding spatially explicit systems conveys complex spatio-temporal dynamics, resulting in the appearance of patterns. It also discloses that cancer spread increases with increased haptotaxis coefficient and growth rate of obese cells. Our simulation confirms that the degradation of the ECM increases cancer spread and density.
{"title":"ENDEAVORING THE ROLE OF OBESITY IN EXTRACELLULAR MATRIX DEGRADATION LEADING TO METASTASIS","authors":"Ani Jain, Parimita Roy","doi":"10.1142/s0218339024500153","DOIUrl":"https://doi.org/10.1142/s0218339024500153","url":null,"abstract":"One of the significant causes of death globally is cancer ( http://www.who.org/ ). Another critical problem is obesity, which is associated with an increased cancer threat. This work provides insight into how obesity contributes to cancer progression and metastasis. We developed a diffusive obesity-cancer model consisting of cancer cells, normal cells, fat cells, macrophages, and an extracellular matrix (ECM) for this aim. We have directed the formed model’s global existence and non-negativity. Equilibrium points for the related ODE are calculated, and its existence and stability study is also done. We present a traveling wave analysis of the obesity-cancer model and have calculated the minimum wave speed. Using a combination of analytic and numerical results of traveling waves, we conjecture that the minimal wave speed depends on fat cells’ diffusive rate and haptotaxis coefficient. We followed the theory of the Partial Rank Correlation Coefficient (PRCC) to carry out a global sensitivity analysis to evaluate the most sensitive parameters reliable for cancer progression. We delivered a comprehensive numerical analysis of our deterministic and diffusive models (in 1D and 2D) and analogized the result. Numerical simulation of corresponding spatially explicit systems conveys complex spatio-temporal dynamics, resulting in the appearance of patterns. It also discloses that cancer spread increases with increased haptotaxis coefficient and growth rate of obese cells. Our simulation confirms that the degradation of the ECM increases cancer spread and density.","PeriodicalId":54872,"journal":{"name":"Journal of Biological Systems","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139965173","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}
Pub Date : 2024-02-01DOI: 10.1142/s0218339024500189
M. Vellappandi, J. Kokila, V. Govindaraj
In enzyme kinetic chemical reaction, inhibitors are working as a regulators of the metabolism of the systems and the biochemical activities as well. The main focus of this study is to explore the fractional dynamics of enzyme kinetic biochemical reactions with competitive and uncompetitive inhibitors. Further, the analysis continuous with the optimal controls on the system which accelerate biochemical reactions and maximize product generation. Eventually, the numerical analysis have been done by the Adams predictor–corrector method and the forward–backward sweep method for the dynamics and optimal control study, respectively.
{"title":"OPTIMAL CONTROL ON FRACTIONAL ENZYME KINETICS WITH INHIBITORS","authors":"M. Vellappandi, J. Kokila, V. Govindaraj","doi":"10.1142/s0218339024500189","DOIUrl":"https://doi.org/10.1142/s0218339024500189","url":null,"abstract":"In enzyme kinetic chemical reaction, inhibitors are working as a regulators of the metabolism of the systems and the biochemical activities as well. The main focus of this study is to explore the fractional dynamics of enzyme kinetic biochemical reactions with competitive and uncompetitive inhibitors. Further, the analysis continuous with the optimal controls on the system which accelerate biochemical reactions and maximize product generation. Eventually, the numerical analysis have been done by the Adams predictor–corrector method and the forward–backward sweep method for the dynamics and optimal control study, respectively.","PeriodicalId":54872,"journal":{"name":"Journal of Biological Systems","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139812958","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}
Pub Date : 2024-02-01DOI: 10.1142/s0218339024500189
M. Vellappandi, J. Kokila, V. Govindaraj
In enzyme kinetic chemical reaction, inhibitors are working as a regulators of the metabolism of the systems and the biochemical activities as well. The main focus of this study is to explore the fractional dynamics of enzyme kinetic biochemical reactions with competitive and uncompetitive inhibitors. Further, the analysis continuous with the optimal controls on the system which accelerate biochemical reactions and maximize product generation. Eventually, the numerical analysis have been done by the Adams predictor–corrector method and the forward–backward sweep method for the dynamics and optimal control study, respectively.
{"title":"OPTIMAL CONTROL ON FRACTIONAL ENZYME KINETICS WITH INHIBITORS","authors":"M. Vellappandi, J. Kokila, V. Govindaraj","doi":"10.1142/s0218339024500189","DOIUrl":"https://doi.org/10.1142/s0218339024500189","url":null,"abstract":"In enzyme kinetic chemical reaction, inhibitors are working as a regulators of the metabolism of the systems and the biochemical activities as well. The main focus of this study is to explore the fractional dynamics of enzyme kinetic biochemical reactions with competitive and uncompetitive inhibitors. Further, the analysis continuous with the optimal controls on the system which accelerate biochemical reactions and maximize product generation. Eventually, the numerical analysis have been done by the Adams predictor–corrector method and the forward–backward sweep method for the dynamics and optimal control study, respectively.","PeriodicalId":54872,"journal":{"name":"Journal of Biological Systems","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139872761","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}
Pub Date : 2024-02-01DOI: 10.1142/s0218339024500177
Ankit Kothiya, N. Adlakha
Fibroblasts significantly affect wound healing, cancer progression and development. Disturbances in the calcium [Formula: see text] and dopamine [Formula: see text] dynamics leads to fibrotic disorders like cancer and fibrosis. Calcium signaling is required for [Formula: see text] concentrations in fibroblasts. Alteration in the many processes of [Formula: see text] kinetics can disturb [Formula: see text] regulation in fibroblast cells. No model has been reported till date for the study of spatiotemporal relationships of [Formula: see text] with calcium signaling in fibroblasts. A model is provided here to study the dynamic relationship of [Formula: see text] regulation with calcium signaling in a fibroblast cell. Finite element and Crank–Nicholson techniques are employed for numerical simulation. The numerical results provide insights into the buffer, source influx, and diffusion effects on the spatiotemporal dynamics of [Formula: see text] and [Formula: see text] in a fibroblast. Disturbances in the constitutive processes in the system dynamics of [Formula: see text] and [Formula: see text] can cause fibrotic diseases such as fibrosis and cancer in various organs.
{"title":"MATHEMATICAL MODEL FOR SYSTEM DYNAMICS OF (Ca2+) AND DOPAMINE IN A FIBROBLAST CELL","authors":"Ankit Kothiya, N. Adlakha","doi":"10.1142/s0218339024500177","DOIUrl":"https://doi.org/10.1142/s0218339024500177","url":null,"abstract":"Fibroblasts significantly affect wound healing, cancer progression and development. Disturbances in the calcium [Formula: see text] and dopamine [Formula: see text] dynamics leads to fibrotic disorders like cancer and fibrosis. Calcium signaling is required for [Formula: see text] concentrations in fibroblasts. Alteration in the many processes of [Formula: see text] kinetics can disturb [Formula: see text] regulation in fibroblast cells. No model has been reported till date for the study of spatiotemporal relationships of [Formula: see text] with calcium signaling in fibroblasts. A model is provided here to study the dynamic relationship of [Formula: see text] regulation with calcium signaling in a fibroblast cell. Finite element and Crank–Nicholson techniques are employed for numerical simulation. The numerical results provide insights into the buffer, source influx, and diffusion effects on the spatiotemporal dynamics of [Formula: see text] and [Formula: see text] in a fibroblast. Disturbances in the constitutive processes in the system dynamics of [Formula: see text] and [Formula: see text] can cause fibrotic diseases such as fibrosis and cancer in various organs.","PeriodicalId":54872,"journal":{"name":"Journal of Biological Systems","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139825227","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}
Pub Date : 2024-02-01DOI: 10.1142/s0218339024500177
Ankit Kothiya, N. Adlakha
Fibroblasts significantly affect wound healing, cancer progression and development. Disturbances in the calcium [Formula: see text] and dopamine [Formula: see text] dynamics leads to fibrotic disorders like cancer and fibrosis. Calcium signaling is required for [Formula: see text] concentrations in fibroblasts. Alteration in the many processes of [Formula: see text] kinetics can disturb [Formula: see text] regulation in fibroblast cells. No model has been reported till date for the study of spatiotemporal relationships of [Formula: see text] with calcium signaling in fibroblasts. A model is provided here to study the dynamic relationship of [Formula: see text] regulation with calcium signaling in a fibroblast cell. Finite element and Crank–Nicholson techniques are employed for numerical simulation. The numerical results provide insights into the buffer, source influx, and diffusion effects on the spatiotemporal dynamics of [Formula: see text] and [Formula: see text] in a fibroblast. Disturbances in the constitutive processes in the system dynamics of [Formula: see text] and [Formula: see text] can cause fibrotic diseases such as fibrosis and cancer in various organs.
{"title":"MATHEMATICAL MODEL FOR SYSTEM DYNAMICS OF (Ca2+) AND DOPAMINE IN A FIBROBLAST CELL","authors":"Ankit Kothiya, N. Adlakha","doi":"10.1142/s0218339024500177","DOIUrl":"https://doi.org/10.1142/s0218339024500177","url":null,"abstract":"Fibroblasts significantly affect wound healing, cancer progression and development. Disturbances in the calcium [Formula: see text] and dopamine [Formula: see text] dynamics leads to fibrotic disorders like cancer and fibrosis. Calcium signaling is required for [Formula: see text] concentrations in fibroblasts. Alteration in the many processes of [Formula: see text] kinetics can disturb [Formula: see text] regulation in fibroblast cells. No model has been reported till date for the study of spatiotemporal relationships of [Formula: see text] with calcium signaling in fibroblasts. A model is provided here to study the dynamic relationship of [Formula: see text] regulation with calcium signaling in a fibroblast cell. Finite element and Crank–Nicholson techniques are employed for numerical simulation. The numerical results provide insights into the buffer, source influx, and diffusion effects on the spatiotemporal dynamics of [Formula: see text] and [Formula: see text] in a fibroblast. Disturbances in the constitutive processes in the system dynamics of [Formula: see text] and [Formula: see text] can cause fibrotic diseases such as fibrosis and cancer in various organs.","PeriodicalId":54872,"journal":{"name":"Journal of Biological Systems","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139884897","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}
Pub Date : 2024-01-05DOI: 10.1142/s0218339024500128
Y. DUMONT, M. DUPREZ
The sterile insect technique (SIT) is a biological control technique that can be used either to eliminate or decay a wild mosquito population under a given threshold to reduce the nuisance or the epidemiological risk. In this work, we propose a model using a differential system that takes into account the variations of rainfall and temperature over time and study their impacts on sterile males’ releases strategies. Our model is as simple as possible to avoid complexity while being able to capture the temporal variations of an Aedes albopictus mosquito population in a domain treated by SIT, located in Réunion island. The main objective is to determine what period of the year is the most suitable to start a SIT control to minimize the duration of massive releases and the number of sterile males to release, either to reduce the mosquito nuisance, or to reduce the epidemiological risk. Since sterilization is not efficient, we also study the impact of different levels of residual fertility within the released sterile males population. Our study shows that rainfall plays a major role in the dynamics of the mosquito and the SIT control, that the best period to start a massive SIT treatment lasts from July to December, that residual fertility has to be as small as possible, at least for nuisance reduction. Indeed, when the main objective is to reduce the epidemiological risk, we show that residual fertility is not necessarily an issue. Increasing the size of the releases is not always interesting. We also highlight the importance of combining SIT with mechanical control, i.e., the removal of breeding sites, in particular when the initial mosquito population is large. Last but not least our study shows the usefulness of the modeling approach to derive various simulations to anticipate issues and demand in terms of sterile insects’ production.
昆虫不育技术（SIT）是一种生物控制技术，既可用于消灭野生蚊子种群，也可用于在给定阈值下使其衰减，以减少滋扰或流行病风险。在这项工作中，我们提出了一个考虑到降雨量和温度随时间变化的差分系统模型，并研究了它们对不育雄蚊释放策略的影响。我们的模型尽可能简单，以避免复杂性，同时能够捕捉到位于留尼汪岛的白纹伊蚊种群在经 SIT 处理的区域内的时间变化。主要目的是确定一年中哪个时期最适合开始 SIT 控制，以尽量缩短大规模释放的持续时间和释放不育雄蚊的数量，从而减少蚊虫滋扰或降低流行病风险。由于绝育并非百分之百有效，我们还研究了释放的不育雄蚊群体中不同水平的剩余生育力的影响。我们的研究表明，降雨量对蚊子的动态和 SIT 控制起着重要作用，从 7 月到 12 月是开始大规模 SIT 处理的最佳时期，残余繁殖力必须尽可能小，至少是为了减少滋扰。事实上，当主要目标是降低流行病学风险时，我们发现剩余生殖力并不一定是个问题。增加释放量并不总是有意义的。我们还强调了将 SIT 与机械控制（即清除繁殖地）相结合的重要性，尤其是在初始蚊虫数量较大时。最后但并非最不重要的一点是，我们的研究显示了建模方法的实用性，可以通过各种模拟来预测不育昆虫生产方面的问题和需求。
{"title":"MODELING THE IMPACT OF RAINFALL AND TEMPERATURE ON STERILE INSECT CONTROL STRATEGIES IN A TROPICAL ENVIRONMENT","authors":"Y. DUMONT, M. DUPREZ","doi":"10.1142/s0218339024500128","DOIUrl":"https://doi.org/10.1142/s0218339024500128","url":null,"abstract":"<p>The sterile insect technique (SIT) is a biological control technique that can be used either to eliminate or decay a wild mosquito population under a given threshold to reduce the nuisance or the epidemiological risk. In this work, we propose a model using a differential system that takes into account the variations of rainfall and temperature over time and study their impacts on sterile males’ releases strategies. Our model is as simple as possible to avoid complexity while being able to capture the temporal variations of an <i>Aedes albopictus</i> mosquito population in a domain treated by SIT, located in Réunion island. The main objective is to determine what period of the year is the most suitable to start a SIT control to minimize the duration of massive releases and the number of sterile males to release, either to reduce the mosquito nuisance, or to reduce the epidemiological risk. Since sterilization is not <span><math altimg=\"eq-00001.gif\" display=\"inline\" overflow=\"scroll\"><mn>1</mn><mn>0</mn><mn>0</mn><mi>%</mi></math></span><span></span> efficient, we also study the impact of different levels of residual fertility within the released sterile males population. Our study shows that rainfall plays a major role in the dynamics of the mosquito and the SIT control, that the best period to start a massive SIT treatment lasts from July to December, that residual fertility has to be as small as possible, at least for nuisance reduction. Indeed, when the main objective is to reduce the epidemiological risk, we show that residual fertility is not necessarily an issue. Increasing the size of the releases is not always interesting. We also highlight the importance of combining SIT with mechanical control, i.e., the removal of breeding sites, in particular when the initial mosquito population is large. Last but not least our study shows the usefulness of the modeling approach to derive various simulations to anticipate issues and demand in terms of sterile insects’ production.</p>","PeriodicalId":54872,"journal":{"name":"Journal of Biological Systems","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-01-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140150174","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}
Pub Date : 2023-11-28DOI: 10.1142/s021833902340003x
Anuj Kumar Umrao, Prashant K. Srivastava
{"title":"Impact of hunting cooperation and fear effect in a generalist predator-prey model","authors":"Anuj Kumar Umrao, Prashant K. Srivastava","doi":"10.1142/s021833902340003x","DOIUrl":"https://doi.org/10.1142/s021833902340003x","url":null,"abstract":"","PeriodicalId":54872,"journal":{"name":"Journal of Biological Systems","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2023-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139215265","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}
Pub Date : 2023-11-21DOI: 10.1142/s0218339023500493
Hanghang Li, Xinli Hu
This paper presents a study of a discrete prey–predator model with additive Allee effect. The model is discretized using the forward Euler method, and the system is analyzed using bifurcation theory and chaos control. The equilibrium point of the discrete system is obtained through equilibrium analysis, and the stability of the equilibrium point is determined by analyzing the parameter conditions. The study also establishes the existence and direction of Neimark–Sacker bifurcation at the positive equilibrium point. The paper proposes two control strategies to manage chaotic behavior and Neimark–Sacker bifurcation: exponential control and hybrid feedback control. These control methods are demonstrated to be effective in controlling the chaotic behavior and bifurcation of the system through numerical simulation. Overall, the results of the study provide important insights into the dynamics of the discrete prey–predator model with additive Allee effect, as well as effective methods for controlling chaos and bifurcation in the system.
{"title":"BIFURCATION ANALYSIS AND CHAOS CONTROL OF DISCRETE PREDATOR–PREY MODEL WITH ADDITIVE ALLEE EFFECT","authors":"Hanghang Li, Xinli Hu","doi":"10.1142/s0218339023500493","DOIUrl":"https://doi.org/10.1142/s0218339023500493","url":null,"abstract":"This paper presents a study of a discrete prey–predator model with additive Allee effect. The model is discretized using the forward Euler method, and the system is analyzed using bifurcation theory and chaos control. The equilibrium point of the discrete system is obtained through equilibrium analysis, and the stability of the equilibrium point is determined by analyzing the parameter conditions. The study also establishes the existence and direction of Neimark–Sacker bifurcation at the positive equilibrium point. The paper proposes two control strategies to manage chaotic behavior and Neimark–Sacker bifurcation: exponential control and hybrid feedback control. These control methods are demonstrated to be effective in controlling the chaotic behavior and bifurcation of the system through numerical simulation. Overall, the results of the study provide important insights into the dynamics of the discrete prey–predator model with additive Allee effect, as well as effective methods for controlling chaos and bifurcation in the system.","PeriodicalId":54872,"journal":{"name":"Journal of Biological Systems","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2023-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139253211","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}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：