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1. Replicator dynamics on heterogeneous networks NSTL国家科技图书文献中心

Li, Junjie | Wang, Xiaomin ... - 《Journal of Mathematical Biology》 - 2025,90(2) - 共21页

摘要：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

关键词： Replicator dynamics | Heterogeneous networks | Multi-strategy games | Evolutionary stability

2. Analytic solutions for the circadian oscillator characterize cycle dynamics and its robustness NSTL国家科技图书文献中心

Burckard, Odile | Chaves, Madalena - 《Journal of Mathematical Biology》 - 2025,90(1) - 共28页

摘要：Circadian clocks form a fundamental mechanism | that promotes the correct behavior of many cellular | and molecular processes by synchronizing them on a | 24 h period. However, the circadian cycles remain | difficult to describe mathematically. To overcome this

关键词： Circadian clock cycle dynamics | Piecewise affine model | Analytic solutions | Parameter regions | Period robustness | Periodic sequence of regions | 92-10 Mathematical modeling or simulation for problems pertaining to biology

3. Dynamics analysis of a reaction-diffusion-advection benthic-drift model with logistic growth NSTL国家科技图书文献中心

Nie, Hua | Qin, Qian ... - 《Journal of Mathematical Biology》 - 2025,90(2) - 共49页

摘要：This paper aims to investigate the benthic | -drift population model in both open and closed | advective environments, focusing on the logistic growth of | benthic populations. We obtain the threshold dynamics | using the monotone iteration method, and show that the

关键词： Reaction-diffusion-advection | Benthic-drift model | Noncompactness | Threshold dynamics | Quantitative analysis

4. Persistence and neutrality in interacting replicator dynamics NSTL国家科技图书文献中心

Videla, Leonardo | Tejo, Mauricio ... - 《Journal of Mathematical Biology》 - 2025,90(2) - 共45页

摘要：We study the large-time behavior of an | ensemble of entities obeying replicator-like stochastic | dynamics with mean-field interactions as a model for a | primordial ecology. We prove the propagation-of-chaos | property and establish conditions for the strong

关键词： Stochastic replicator dynamics | Propagation of Chaos | Stochastic persistence | McKean-Vlasov equation | Invariant distributions | Emergence of ecologies

5. Persistent prey species in the Lotka-Volterra apparent competition system with a single shared predator NSTL国家科技图书文献中心

Seno, Hiromi - 《Journal of Mathematical Biology》 - 2025,90(2) - 共39页

摘要：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

关键词： Apparent competition | Species invasion | Species extinction | Functional homogenization

6. Optimizing control parameters for Huanglongbing disease in citrus orchards using SAIR-SI compartmental model, epidemic final size, and genetic algorithms NSTL国家科技图书文献中心

Hernandez, Andres An... | Mujica, Uvencio Jose...... - 《Journal of Mathematical Biology》 - 2025,90(1) - 共25页

摘要：Huanglongbing (HLB) is a bacterial disease | that affects citrus trees worldwide. We present an | innovative approach for identifying optimal control and | risk measures for HLB in citrus orchards. Our method | is based on a mathematical model that incorporates

关键词： Huanglongbing disease | Compartment SAIR-SI model | Epidemic final size | Evolutionary algorithm | 92-10

7. Multi-objective control to schedule therapies for acute viral infections NSTL国家科技图书文献中心

Perez, Mara | Actis, Marcelo ... - 《Journal of Mathematical Biology》 - 2025,90(2) - 共21页

摘要：Antiviral therapies can yield different | outcomes depending on their scheduling: a highly | effective drug may produce treatment results ranging from | successful to inconsequential, depending on therapeutic | timing, dosing intervals, and dosage. The effectiveness

关键词： In-host acute infection model | Antiviral treatment | COVID-19 | Optimal control | 93-10 | 92-10

8. Description of chemical systems by means of response functions NSTL国家科技图书文献中心

Franco, E. | Kepka, B.... - 《Journal of Mathematical Biology》 - 2025,90(3) - 共56页

摘要：In this paper we introduce a formalism that | allows to describe the response of a part of a | biochemical system in terms of renewal equations. In | particular, we examine under which conditions the | interactions between the different parts of a chemical system

关键词： Renewal equations | Response functions | Non-Markovian dynamics | Biochemical systems

9. A branching model for intergenerational telomere length dynamics NSTL国家科技图书文献中心

Benetos, Athanasios | Coudray, Olivier ... - 《Journal of Mathematical Biology》 - 2025,90(2) - 共37页

摘要：We build and study an individual based model | of the telomere length's evolution in a population | across multiple generations. This model is a continuous | time typed branching process, where the type of an | individual includes its gamete mean telomere length and its

关键词： Telomeres dynamics | Population dynamics | Aged structured model | Branching processes | Quasi-stationary distributions

10. Dynamics of classical solutions of a multi-strain diffusive epidemic model with mass-action transmission mechanism NSTL国家科技图书文献中心

Adetola, Jamal | Castellano, Keoni G.... - 《Journal of Mathematical Biology》 - 2025,90(1) - 共54页

摘要：We study a diffusive epidemic model and | examine the spatial spreading dynamics of a multi-strain | infectious disease. In particular, we address the questions | of competitive-exclusion or coexistence of the | disease's strains. Our results indicate that if one strain

摘要：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

关键词： Replicator dynamics | Heterogeneous networks | Multi-strategy games | Evolutionary stability

摘要：Circadian clocks form a fundamental mechanism | that promotes the correct behavior of many cellular | and molecular processes by synchronizing them on a | 24 h period. However, the circadian cycles remain | difficult to describe mathematically. To overcome this

关键词： Circadian clock cycle dynamics | Piecewise affine model | Analytic solutions | Parameter regions | Period robustness | Periodic sequence of regions | 92-10 Mathematical modeling or simulation for problems pertaining to biology

摘要：This paper aims to investigate the benthic | -drift population model in both open and closed | advective environments, focusing on the logistic growth of | benthic populations. We obtain the threshold dynamics | using the monotone iteration method, and show that the

关键词： Reaction-diffusion-advection | Benthic-drift model | Noncompactness | Threshold dynamics | Quantitative analysis

摘要：We study the large-time behavior of an | ensemble of entities obeying replicator-like stochastic | dynamics with mean-field interactions as a model for a | primordial ecology. We prove the propagation-of-chaos | property and establish conditions for the strong

关键词： Stochastic replicator dynamics | Propagation of Chaos | Stochastic persistence | McKean-Vlasov equation | Invariant distributions | Emergence of ecologies

摘要：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

关键词： Apparent competition | Species invasion | Species extinction | Functional homogenization

摘要：Huanglongbing (HLB) is a bacterial disease | that affects citrus trees worldwide. We present an | innovative approach for identifying optimal control and | risk measures for HLB in citrus orchards. Our method | is based on a mathematical model that incorporates

关键词： Huanglongbing disease | Compartment SAIR-SI model | Epidemic final size | Evolutionary algorithm | 92-10

摘要：Antiviral therapies can yield different | outcomes depending on their scheduling: a highly | effective drug may produce treatment results ranging from | successful to inconsequential, depending on therapeutic | timing, dosing intervals, and dosage. The effectiveness

关键词： In-host acute infection model | Antiviral treatment | COVID-19 | Optimal control | 93-10 | 92-10

摘要：In this paper we introduce a formalism that | allows to describe the response of a part of a | biochemical system in terms of renewal equations. In | particular, we examine under which conditions the | interactions between the different parts of a chemical system

关键词： Renewal equations | Response functions | Non-Markovian dynamics | Biochemical systems

摘要：We build and study an individual based model | of the telomere length's evolution in a population | across multiple generations. This model is a continuous | time typed branching process, where the type of an | individual includes its gamete mean telomere length and its

关键词： Telomeres dynamics | Population dynamics | Aged structured model | Branching processes | Quasi-stationary distributions

摘要：We study a diffusive epidemic model and | examine the spatial spreading dynamics of a multi-strain | infectious disease. In particular, we address the questions | of competitive-exclusion or coexistence of the | disease's strains. Our results indicate that if one strain

关键词： Diffusive-epidemic model | Multi-strain | Competitive-exclusion principle | Large-time behavior | Asymptotic profiles

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