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Impact of starvation-driven diffusions and diverse interspecific competitions on species coexistence and fitness. 饥饿驱动扩散和多种种间竞争对物种共存和适合度的影响。
IF 2.7 4区 数学
Journal of Biological Dynamics Pub Date : 2026-12-31 Epub Date: 2026-02-02 DOI: 10.1080/17513758.2026.2623563
Youngseok Chang, Inkyung Ahn, Wonhyung Choi
{"title":"Impact of starvation-driven diffusions and diverse interspecific competitions on species coexistence and fitness.","authors":"Youngseok Chang, Inkyung Ahn, Wonhyung Choi","doi":"10.1080/17513758.2026.2623563","DOIUrl":"10.1080/17513758.2026.2623563","url":null,"abstract":"<p><p>This study examines competition models based on the Lotka-Volterra form that incorporate starvation-driven diffusions (SDD). Such dispersal assumes that species disperse in response to resource abundance or scarcity in a heterogeneous habitat. The primary objective of this study is to examine how SDD, in combination with diverse interspecific interactions, affects species' fitness and coexistence states. To this end, the study introduces a refined classification for competing interactions based on a novel metric that quantifies the variability of resource heterogeneity across the environment. This approach contrasts with traditional models that assume uniform diffusion within homogeneous environments. This study investigates the local stability of two semitrivial steady states and establishes the existence and uniqueness of positive steady states by eigenvalue analysis and monotone dynamical systems theory. Through this analytical exploration, the study reveals that the interplay between species' dispersal strategies and the varying intensities of interspecific competition significantly impacts ecological outcomes.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"20 1","pages":"2623563"},"PeriodicalIF":2.7,"publicationDate":"2026-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146107532","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}
引用次数: 0
Stability and bifurcation analysis of a discrete plankton system with holling Type-II predation and toxin effects. 具有ii型捕食和毒素效应的离散浮游生物系统的稳定性和分岔分析。
IF 2.7 4区 数学
Journal of Biological Dynamics Pub Date : 2026-12-31 Epub Date: 2026-02-05 DOI: 10.1080/17513758.2026.2619269
Abdou Al Zubaidi, Muhammad Rafaqat, Jihad Younis, Syed Tauseef Saeed
{"title":"Stability and bifurcation analysis of a discrete plankton system with holling Type-II predation and toxin effects.","authors":"Abdou Al Zubaidi, Muhammad Rafaqat, Jihad Younis, Syed Tauseef Saeed","doi":"10.1080/17513758.2026.2619269","DOIUrl":"10.1080/17513758.2026.2619269","url":null,"abstract":"<p><p>This work examines the dynamics of a discrete-time plankton interaction model, in which phytoplankton generate toxins and are vulnerable to external contamination. The model includes a Holling Type-II predation response and uses a piecewise constant argument approach to break it up into smaller pieces. This keeps the ecological realism of the continuous system while making it possible to study complex discrete-time behaviors. Our focus is on the formation of Neimark-Sacker bifurcation, a phenomena associated with the initiation of quasi-periodic oscillations in population densities. We show how toxin buildup and outside contamination can make plankton populations unstable, which could cause blooms to happen in an irregular way, using stability analysis and numerical simulations. The results show how useful discrete-time models are for capturing rapid changes in ecosystems, such damaging algal blooms. They also give ideas for managing ecosystems and reducing blooms.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"20 1","pages":"2619269"},"PeriodicalIF":2.7,"publicationDate":"2026-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146126880","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}
引用次数: 0
Global analyses of a state-dependent impulsive system for an SIRS model with a nonlinear incidence rate. 具有非线性发生率的SIRS模型状态相关脉冲系统的全局分析。
IF 2.7 4区 数学
Journal of Biological Dynamics Pub Date : 2026-12-31 Epub Date: 2026-09-18 DOI: 10.1080/17513758.2026.2732280
Chenxi Huang, Sanyi Tang, Qianqian Zhang
{"title":"Global analyses of a state-dependent impulsive system for an SIRS model with a nonlinear incidence rate.","authors":"Chenxi Huang, Sanyi Tang, Qianqian Zhang","doi":"10.1080/17513758.2026.2732280","DOIUrl":"https://doi.org/10.1080/17513758.2026.2732280","url":null,"abstract":"<p><p>This paper establishes a state-feedback control system based on a nonlinear incidence SIRS model to explore the regulatory mechanism of infectious disease control. We develop a state-dependent impulsive model with threshold-triggered vaccination and isolation interventions once the susceptible population exceeds a predefined level. After investigating the basic properties of the ODE subsystem, we define and classify the Poincaré map and analyze its domain, range and monotonicity, which provides a theoretical basis for studying positive periodic solutions of the impulsive system under different ODE dynamics. The results show that the disease-free periodic solution is globally asymptotically stable for <math><mrow><mi>p</mi><mo>></mo><mn>1</mn></mrow></math>, where <math><mi>p</mi></math> is a parameter directly related to the force of the infection. When <math><mrow><mn>0</mn><mo><</mo><mi>p</mi><mo><</mo><mn>1</mn></mrow></math>, however, the model may exhibit bistability between the disease-free periodic solution and an endemic periodic solution, where the final outcome depends sensitively on the initial infection size, which is consistent with the weak transmissibility and controllable low-level prevalence.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"20 1","pages":"2732280"},"PeriodicalIF":2.7,"publicationDate":"2026-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148992110","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}
引用次数: 0
Dynamics of virus infection under the influence of antibody and cytokine. 抗体和细胞因子影响下的病毒感染动态。
IF 2.7 4区 数学
Journal of Biological Dynamics Pub Date : 2026-12-31 Epub Date: 2026-03-20 DOI: 10.1080/17513758.2026.2645304
Cuicui Jiang, Yanni Tian, Miaoran Yao, Kaifa Wang
{"title":"Dynamics of virus infection under the influence of antibody and cytokine.","authors":"Cuicui Jiang, Yanni Tian, Miaoran Yao, Kaifa Wang","doi":"10.1080/17513758.2026.2645304","DOIUrl":"10.1080/17513758.2026.2645304","url":null,"abstract":"<p><p>To study the macroscopic dynamics of susceptible host cells, infected host cells, free virus particles and antibodies after viral infection within-host, this study develops a novel dynamic model that integrates three key mechanisms: a general incidence function capturing the complexity of antibody production, the inhibitory effect of antibodies on viral infectivity and the cytokine-mediated self-cure of infected cells. The basic reproduction numbers for both the virus and immune response are derived, along with sufficient conditions for the stability of equilibria. Bifurcation analysis revealed that a Hopf bifurcation may occur when the basic reproduction number of the immune response exceeds one. Numerical simulations highlight the critical role of saturation effects in viral replication and the immune response for infection control. Antibody immunity, once depleted, may not be replenished and neglecting saturation effects could overestimate both the oscillatory parameter range and the severity of infection.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"20 1","pages":"2645304"},"PeriodicalIF":2.7,"publicationDate":"2026-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147491986","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}
引用次数: 0
Dynamical analysis of an age-structured COVID-19 transmission model with voluntary vaccination strategies and evolutionary game. 具有自愿接种策略和进化博弈的年龄结构COVID-19传播模型的动态分析
IF 2.7 4区 数学
Journal of Biological Dynamics Pub Date : 2026-12-31 Epub Date: 2026-01-27 DOI: 10.1080/17513758.2026.2620176
Qingxia Ma, Jie Xu, Gang Huang
{"title":"Dynamical analysis of an age-structured COVID-19 transmission model with voluntary vaccination strategies and evolutionary game.","authors":"Qingxia Ma, Jie Xu, Gang Huang","doi":"10.1080/17513758.2026.2620176","DOIUrl":"10.1080/17513758.2026.2620176","url":null,"abstract":"<p><p>COVID-19 infection exhibits significant age-related differences. In this paper, we consider an infectious disease model with age-structure in susceptibility and evolutionary game and analyze the impact of mandatory and voluntary vaccination strategies on disease progression. We derive the conditions for the existence of equilibria and confirm that the basic reproduction number <math><msub><mi>R</mi><mn>0</mn></msub></math> serves as a threshold parameter that fully determines the dynamical properties of the model. Theoretical analyses indicate that the persistence of COVID-19 is contingent upon the value of the basic reproduction number. By conducting numerical simulations, we investigate the impacts of various factors, including relative vaccine cost and vaccine effectiveness, on disease dynamics under a voluntary vaccination policy. Our analysis reveals that enhancing vaccine effectiveness does not reduce disease transmission when vaccination rates are extremely low. Under voluntary vaccination policies, it is crucial to keep relative vaccine costs below a certain threshold to promote higher vaccination uptake.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"20 1","pages":"2620176"},"PeriodicalIF":2.7,"publicationDate":"2026-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146054766","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}
引用次数: 0
Optimal pest management in Moringa (Moringa oleifera): a mathematical model incorporating integrated pesticide use. 辣木（Moringa oleifera）病虫害优化管理：一个综合农药使用的数学模型。
IF 2.7 4区 数学
Journal of Biological Dynamics Pub Date : 2026-12-31 Epub Date: 2026-06-30 DOI: 10.1080/17513758.2026.2694214
Raymond Charles, Filimon Abel Mgandu
{"title":"Optimal pest management in Moringa (<i>Moringa oleifera</i>): a mathematical model incorporating integrated pesticide use.","authors":"Raymond Charles, Filimon Abel Mgandu","doi":"10.1080/17513758.2026.2694214","DOIUrl":"https://doi.org/10.1080/17513758.2026.2694214","url":null,"abstract":"<p><p>A mathematical model for Moringa was developed and analyzed in this study to manage the plantation's natural pests through integrated pest management (IPM). Bio-pesticides are expensive, difficult to apply and need a lengthy process. However, this method will be more efficient and less costly if chemical pesticides are added to the farming system in addition to biopesticides. Here, we examine the use of integrated pest management (IPM) combined with chemical and biological pesticides. We determine which parameter can lead to stability switches. By utilizing optimal control theory, the ideal concentration profile for both pesticides has been established to reduce side effects and maximize process economy. Numerical simulations justify the primary results.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"20 1","pages":"2694214"},"PeriodicalIF":2.7,"publicationDate":"2026-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148354381","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}
引用次数: 0
Modelling the role of macrophage polarization during pulmonary infection of Mycobacterium tuberculosis with cellular immunity. 用细胞免疫模拟巨噬细胞极化在结核分枝杆菌肺部感染中的作用。
IF 2.7 4区 数学
Journal of Biological Dynamics Pub Date : 2026-12-31 Epub Date: 2026-08-11 DOI: 10.1080/17513758.2026.2715881
Ruidi Ding, Cunjuan Dong, Long Zhang, Zhidong Teng
{"title":"Modelling the role of macrophage polarization during pulmonary infection of Mycobacterium tuberculosis with cellular immunity.","authors":"Ruidi Ding, Cunjuan Dong, Long Zhang, Zhidong Teng","doi":"10.1080/17513758.2026.2715881","DOIUrl":"https://doi.org/10.1080/17513758.2026.2715881","url":null,"abstract":"<p><p>This paper proposes a within-host Mycobacterium tuberculosis (Mtb) infection model integrating M1/M2 macrophage conversion to explore macrophage polarization regulation in pulmonary infection with cellular immunity. The basic reproduction number <math><msub><mi>R</mi><mn>0</mn></msub></math> is calculated, and criteria on the locally and globally asymptotic stability of infection-free equilibrium <math><msub><mi>E</mi><mn>0</mn></msub></math> are established if <math><msub><mi>R</mi><mn>0</mn></msub><mo><</mo><mn>1</mn></math>. Criteria on the existence and locally asymptotic stability of immune-free infection equilibrium <math><mover><mi>E</mi><mo>¯</mo></mover></math> and immune-activated infection equilibrium <math><msup><mi>E</mi><mo>∗</mo></msup></math> are further obtained if <math><msub><mi>R</mi><mn>0</mn></msub><mo>></mo><mn>1</mn></math>. Moreover, the model exhibits forward, backward and saddle-node bifurcations at <math><mover><mi>E</mi><mo>¯</mo></mover></math>, as well as Hopf bifurcation and chaotic dynamics at <math><msup><mi>E</mi><mo>∗</mo></msup></math>, indicating that Mtb infection is highly sensitive to the dynamic shifts during macrophage polarization. Numerical simulations verify theoretical results, revealing that the effective conversion rates <math><msub><mi>γ</mi><mn>1</mn></msub></math> and <math><msub><mi>γ</mi><mn>2</mn></msub></math> between M1 and M2 macrophages are key regulators of Mtb infection progression, which may provide theoretical insights into tuberculosis latency and relapse, and offer testable predictions for immunotherapeutic strategies.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"20 1","pages":"2715881"},"PeriodicalIF":2.7,"publicationDate":"2026-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148714255","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}
引用次数: 0
Bistable wave speed of a diffusive three-species Lotka-Volterra competition model. 扩散三种Lotka-Volterra竞争模型的双稳态波速。
IF 2.7 4区 数学
Journal of Biological Dynamics Pub Date : 2026-12-31 Epub Date: 2026-05-13 DOI: 10.1080/17513758.2026.2672784
Jia Guo, Binxiang Dai
{"title":"Bistable wave speed of a diffusive three-species Lotka-Volterra competition model.","authors":"Jia Guo, Binxiang Dai","doi":"10.1080/17513758.2026.2672784","DOIUrl":"10.1080/17513758.2026.2672784","url":null,"abstract":"<p><p>In this paper, we investigate the propagation speed of bistable traveling waves in a diffusive three-species Lotka-Volterra competition model. By constructing a novel pair of upper and lower solutions, we derive sufficient conditions that determine whether the bistable wave speed is positive or negative. These criteria offer a theoretical foundation for predicting the direction of wave propagation in such systems. The validity and applicability of our theoretical results are further confirmed through several numerical examples.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"20 1","pages":"2672784"},"PeriodicalIF":2.7,"publicationDate":"2026-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147934614","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}
引用次数: 0
The behavioural spillover effect: modelling behavioural interdependencies in multi-pathogen dynamics. 行为溢出效应：模拟多病原体动力学中的行为相互依赖性。
IF 2.7 4区 数学
Journal of Biological Dynamics Pub Date : 2026-12-31 Epub Date: 2026-05-26 DOI: 10.1080/17513758.2026.2676366
Leah LeJeune, Omar Saucedo, Lauren M Childs, Navid Ghaffarzadegan
{"title":"The behavioural spillover effect: modelling behavioural interdependencies in multi-pathogen dynamics.","authors":"Leah LeJeune, Omar Saucedo, Lauren M Childs, Navid Ghaffarzadegan","doi":"10.1080/17513758.2026.2676366","DOIUrl":"10.1080/17513758.2026.2676366","url":null,"abstract":"<p><p>During the recent pandemic, a rise in COVID-19 cases was followed by a decline in influenza. In the absence of cross-immunity, a potential explanation for the observed pattern is behavioural: non-pharmaceutical interventions (NPIs) designed and promoted for one disease also reduce the spread of others. We study short-term and long-term dynamics of two pathogens where NPIs targeting one pathogen indirectly influence the spread of another - a phenomenon we term <i>behavioural spillover</i>. We examine how perceived risk of and response to one disease substantially alter the spread of other pathogens, revealing how waves of different pathogens emerge over time as a result of behavioural interdependencies and human response. Our analysis identifies the parameter space where two diseases simultaneously co-exist, and where shifts in prevalence occur. Our findings are consistent with observations from the COVID-19 pandemic, where NPIs contributed to significant declines in infections such as influenza, pneumonia, and Lyme disease.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"20 1","pages":"2676366"},"PeriodicalIF":2.7,"publicationDate":"2026-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148036638","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}
引用次数: 0
Modelling and analyzing the transmission dynamics of HIV/AIDS epidemic in China. 中国艾滋病毒/艾滋病传播动态建模与分析。
IF 2.7 4区 数学
Journal of Biological Dynamics Pub Date : 2026-12-31 Epub Date: 2026-02-03 DOI: 10.1080/17513758.2026.2622439
Lili Su, Weide Li, Yumei Ma
{"title":"Modelling and analyzing the transmission dynamics of HIV/AIDS epidemic in China.","authors":"Lili Su, Weide Li, Yumei Ma","doi":"10.1080/17513758.2026.2622439","DOIUrl":"10.1080/17513758.2026.2622439","url":null,"abstract":"<p><p>Based on the considerations of round-trip in the treatment process, this paper presents a mathematical model aimed at studying the dynamic behaviour and epidemiological trends of HIV/AIDS. We first calculate the basic reproduction number <math><msub><mover><mi>R</mi><mo>̅</mo></mover><mn>0</mn></msub></math> and discuss the stability of equilibrium points and the existence of forward bifurcations, validating the theoretical results through numerical simulations. Subsequently, using cumulative HIV/AIDS case data reported in China, we estimate model parameters using the least squares method, achieving a good fit. Furthermore, sensitivity analyses were performed on the model parameters to explain the dependence of the parameters on the infection variables. Finally, the model is applied to evaluate the control effects of treatment coverage at different stages of infection. The results suggest that reducing HIV/AIDS exposure, improving HIV/AIDS screening, promoting infectious disease treatment and increasing disease prevention awareness are the most effective measures to prevent HIV/AIDS infection.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"20 1","pages":"2622439"},"PeriodicalIF":2.7,"publicationDate":"2026-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146114724","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}
引用次数: 0
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