Journal of Mathematical Biology最新文献

A branching model for intergenerational telomere length dynamics.

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2025-01-26 DOI: 10.1007/s00285-025-02185-1

Athanasios Benetos, Olivier Coudray, Anne Gégout-Petit, Lionel Lenôtre, Simon Toupance, Denis Villemonais

引用次数: 0

Total population for a resource-limited single consumer model.

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2025-01-25 DOI: 10.1007/s00285-025-02186-0

Xiaoqing He, Wei-Ming Ni, Zihan Ye, Bo Zhang

引用次数: 0

Persistent prey species in the Lotka-Volterra apparent competition system with a single shared predator.

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2025-01-23 DOI: 10.1007/s00285-025-02184-2

Hiromi Seno

{"title":"Persistent prey species in the Lotka-Volterra apparent competition system with a single shared predator.","authors":"Hiromi Seno","doi":"10.1007/s00285-025-02184-2","DOIUrl":"10.1007/s00285-025-02184-2","url":null,"abstract":"We analyze the Lotka-Volterra n prey-1 predator system with no direct interspecific interaction between prey species, in which every prey species undergoes the effect of apparent competition via a single shared predator with all other prey species. We prove that the considered system necessarily has a globally asymptotically stable equilibrium, and we find the necessary and sufficient condition to determine which of feasible equilibria becomes asymptotically stable. Such an asymptotically stable equilibrium shows which prey species goes extinct or persists, and we investigate the composition of persistent prey species at the equilibrium apparent competition system. Making use of the results, we discuss the transition of apparent competition system with a persistent single shared predator through the extermination and invasion of prey species. Our results imply that the long-lasting apparent competition system with a persistent single shared predator would tend toward an implicit functional homogenization in coexisting prey species, or would transfer to a 1 prey-1 predator system in which the predator must be observed as a specialist (monophagy).","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"90 2","pages":"19"},"PeriodicalIF":2.2,"publicationDate":"2025-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11758177/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143025605","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Reaction-advection-diffusion model of highly pathogenic avian influenza with behavior of migratory wild birds. 高致病性禽流感与候鸟行为的反应-平流-扩散模型。

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2025-01-16 DOI: 10.1007/s00285-024-02181-x

Liu Yang, Meng Fan

{"title":"Reaction-advection-diffusion model of highly pathogenic avian influenza with behavior of migratory wild birds.","authors":"Liu Yang, Meng Fan","doi":"10.1007/s00285-024-02181-x","DOIUrl":"https://doi.org/10.1007/s00285-024-02181-x","url":null,"abstract":"Wild birds are one of the main natural reservoirs for avian influenza viruses, and their migratory behavior significantly influences the transmission of avian influenza. To better describe the migratory behavior of wild birds, a system of reaction-advection-diffusion equations is developed to characterize the interactions among wild birds, poultry, and humans. By the next-generation operator, the basic reproduction number of the model is formulated. Then the threshold dynamic of the model is explored by some techniques including the theory of uniform persistence, internally chain transitive sets, and so on. Subsequently, the sensitivity analysis of parameters associated with the basic reproduction number is implemented. According to the temporal and spatial overlapping relationship between wild blue-winged ducks and poultry in North America, the effect of this relationship on the characteristic of spatial-temporal distribution of the viruses is well studied. Additionally, the risk of virus transmission from wild birds to poultry and humans is evaluated. The main results highlight that the basic reproduction number is more significantly affected by the parameters related to wild birds. Interestingly, the model output regarding the spatial distribution of poultry infections is consistent with the actual findings. Moreover, the risk of virus spillover from wild birds into poultry and humans varies with wild bird behavior and has a more substantial impact on poultry. Throughout this study, the critical risk points in the transmission process are identified, providing a theoretical basis for the prevention and control of avian influenza.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"90 2","pages":"18"},"PeriodicalIF":2.2,"publicationDate":"2025-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143015394","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

Numerical dynamics and optimal control for multi-strain age-structured epidemic model. 多菌株年龄结构流行病模型的数值动力学与最优控制。

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2025-01-16 DOI: 10.1007/s00285-024-02180-y

Zhijie Chen, Hanmeng Feng

引用次数: 0

Replicator dynamics on heterogeneous networks. 异构网络上的复制器动态。

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2025-01-09 DOI: 10.1007/s00285-024-02177-7

Junjie Li, Xiaomin Wang, Cong Li, Boyu Zhang

{"title":"Replicator dynamics on heterogeneous networks.","authors":"Junjie Li, Xiaomin Wang, Cong Li, Boyu Zhang","doi":"10.1007/s00285-024-02177-7","DOIUrl":"https://doi.org/10.1007/s00285-024-02177-7","url":null,"abstract":"Networked evolutionary game theory is a well-established framework for modeling the evolution of social behavior in structured populations. Most of the existing studies in this field have focused on 2-strategy games on heterogeneous networks or n-strategy games on regular networks. In this paper, we consider n-strategy games on arbitrary networks under the pairwise comparison updating rule. We show that under the limit of weak selection, the short-run behavior of the stochastic evolutionary process can be approximated by replicator equations with a transformed payoff matrix that involves both the average value and the variance of the degree distribution. In particular, strongly heterogeneous networks can facilitate the evolution of the payoff-dominant strategy. We then apply our results to analyze the evolutionarily stable strategies in an n-strategy minimum-effort game and two variants of the prisoner's dilemma game. We show that the cooperative equilibrium becomes evolutionarily stable when the average degree of the network is low and the variance of the degree distribution is high. Agent-based simulations on quasi-regular, exponential, and scale-free networks confirm that the dynamic behaviors of the stochastic evolutionary process can be well approximated by the trajectories of the replicator equations.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"90 2","pages":"16"},"PeriodicalIF":2.2,"publicationDate":"2025-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142958185","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

Persistence and neutrality in interacting replicator dynamics. 相互作用复制因子动力学中的持久性和中立性。

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2025-01-03 DOI: 10.1007/s00285-024-02174-w

Leonardo Videla, Mauricio Tejo, Cristóbal Quiñinao, Pablo A Marquet, Rolando Rebolledo

引用次数: 0

Increase maximum economic yield in a patchy environment. 在不均匀的环境中提高最大经济产量。

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2024-12-29 DOI: 10.1007/s00285-024-02178-6

Bilel Elbetch, Ali Moussaoui, Pierre Auger

引用次数: 0

A spatial multiscale mathematical model of Plasmodium vivax transmission. 间日疟原虫传播的空间多尺度数学模型。

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2024-12-24 DOI: 10.1007/s00285-024-02166-w

Shoshana Elgart, Mark B Flegg, Somya Mehra, Jennifer A Flegg

{"title":"A spatial multiscale mathematical model of Plasmodium vivax transmission.","authors":"Shoshana Elgart, Mark B Flegg, Somya Mehra, Jennifer A Flegg","doi":"10.1007/s00285-024-02166-w","DOIUrl":"10.1007/s00285-024-02166-w","url":null,"abstract":"The epidemiological behavior of Plasmodium vivax malaria occurs across spatial scales including within-host, population, and metapopulation levels. On the within-host scale, P. vivax sporozoites inoculated in a host may form latent hypnozoites, the activation of which drives secondary infections and accounts for a large proportion of P. vivax illness; on the metapopulation level, the coupled human-vector dynamics characteristic of the population level are further complicated by the migration of human populations across patches with different malaria forces of (re-)infection. To explore the interplay of all three scales in a single two-patch model of Plasmodium vivax dynamics, we construct and study a system of eight integro-differential equations with periodic forcing (arising from the single-frequency sinusoidal movement of a human sub-population). Under the numerically-informed ansatz that the limiting solutions to the system are closely bounded by sinusoidal ones for certain regions of parameter space, we derive a single nonlinear equation from which all approximate limiting solutions may be drawn, and devise necessary and sufficient conditions for the equation to have only a disease-free solution. Our results illustrate the impact of movement on P. vivax transmission and suggest a need to focus vector control efforts on forest mosquito populations. The three-scale model introduced here provides a more comprehensive framework for studying the clinical, behavioral, and geographical factors underlying P. vivax malaria endemicity.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"90 1","pages":"13"},"PeriodicalIF":2.2,"publicationDate":"2024-12-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142883513","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

Age-structured modeling of COVID-19 dynamics: the role of treatment and vaccination in controlling the pandemic. COVID-19动态的年龄结构建模：治疗和疫苗接种在控制大流行中的作用

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2024-12-24 DOI: 10.1007/s00285-024-02168-8

Shuanglin Jing, Ling Xue, Xuezhi Li, Fanqin Zeng, Junyuan Yang

{"title":"Age-structured modeling of COVID-19 dynamics: the role of treatment and vaccination in controlling the pandemic.","authors":"Shuanglin Jing, Ling Xue, Xuezhi Li, Fanqin Zeng, Junyuan Yang","doi":"10.1007/s00285-024-02168-8","DOIUrl":"10.1007/s00285-024-02168-8","url":null,"abstract":"In addition to non-pharmaceutical interventions, antiviral drugs and vaccination are considered as the optimal solutions to control and eliminate the COVID-19 pandemic. It is necessary to couple within-host and between-host models to investigate the impact of treatment and vaccination. Hence, we propose an age-structured model, where the infection age is used to link the within-host viral dynamics and the disease dynamics at the population level. We conduct a detailed analysis of the local and global dynamics of the model, and the threshold dynamics are completely determined by the basic reproduction number <math><msub><mi>R</mi> <mn>0</mn></msub> </math> . Thus, the disease-free equilibrium is globally asymptotically stable and the disease eventually dies out when <math> <mrow><msub><mi>R</mi> <mn>0</mn></msub> <mo><</mo> <mn>1</mn></mrow> </math> ; the disease-free equilibrium is globally attractive when <math> <mrow><msub><mi>R</mi> <mn>0</mn></msub> <mo>=</mo> <mn>1</mn></mrow> </math> ; the disease is uniformly persistent, and the unique endemic equilibrium is globally asymptotically stable when <math> <mrow><msub><mi>R</mi> <mn>0</mn></msub> <mo>></mo> <mn>1</mn></mrow> </math> . The numerical simulation quantitatively studies the impact of the within-host viral dynamics on between-host transmission dynamics. The results show that the combination of antiviral drugs and vaccines can play a key role in mitigating the spread of COVID-19, but it is challenging to eliminate COVID-19 alone. To achieve the complete elimination of COVID-19, we need highly effective antiviral drugs and near-universal vaccine coverage.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"90 1","pages":"12"},"PeriodicalIF":2.2,"publicationDate":"2024-12-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142883515","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