Journal of Mathematical Biology最新文献

{"title":"Discrete-time exploitative competition model of different stage-specific predators.","authors":"Hiromi Seno, Akshat Goyal","doi":"10.1007/s00285-026-02427-w","DOIUrl":"10.1007/s00285-026-02427-w","url":null,"abstract":"<p><p>We consider a discrete-time competition model between native and alien predator populations for a common prey. The model is described by a system of three recurrence relations governing their population dynamics, with a generic density-dependent effect for prey and a generic predation factor. In our model, the native and alien predators prey on different stages of the common prey: juvenile-specific and adult-specific predators. In this paper, we focus on the invadability of native prey-predator system to an alien predator and investigate which stage-specific alien predator could be more successful in invading the native system with a different stage-specific native predator. Our mathematical results demonstrate that the prey-predator system with an adult-specific native predator is more vulnerable to the juvenile-specific alien predator invasion compared to the native system with a juvenile-specific native predator. To illustrate the general result more clearly, we present some detailed results on a specific model with a Beverton-Holt type of density-dependent effect and a Nicholson-Bailey type of predation factor, which effectively demonstrates such the dependence of vulnerability to an alien predator invasion on the stage-specific predation.</p>","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"93 1","pages":""},"PeriodicalIF":2.7,"publicationDate":"2026-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC13331872/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148377245","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}

{"title":"Phenotypic plasticity trade-offs in an age-structured model of bacterial growth under stress.","authors":"Meriem El Karoui, Ignacio Madrid, Sylvie Méléard","doi":"10.1007/s00285-026-02396-0","DOIUrl":"10.1007/s00285-026-02396-0","url":null,"abstract":"<p><p>Under low concentrations of antibiotics causing DNA damage, Escherichia coli bacteria can trigger stochastically a stress response known as the SOS response. While the expression of this stress response can make individual cells transiently able to overcome antibiotic treatment, it can also delay cell division, thus impacting the whole population's ability to grow and survive. In order to study the trade-offs that emerge from this phenomenon, we propose a bi-type age-structured population model that captures the phenotypic plasticity observed in the stress response. Individuals can belong to two types: either a fast-dividing but prone to death \"vulnerable\" type, or a slow-dividing but \"tolerant\" type. We study the survival probability of the population issued from a single cell as well as the population growth rate in constant and periodic environments. We show that the sensitivity of these two different notions of fitness with respect to the parameters describing the phenotypic plasticity differs between the stochastic approach (survival probability) and the deterministic approach (population growth rate). Moreover, under a more realistic configuration of periodic stress, our results indicate that maximal population growth can only be achieved through fine-tuning simultaneously both the induction of the stress response and the repair efficiency of the damage caused by the antibiotic.</p>","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"93 1","pages":""},"PeriodicalIF":2.7,"publicationDate":"2026-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC13294164/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148310235","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}

{"title":"Intraspecific interactions facilitate mutualism across multilayer networks under weak selection.","authors":"Yihe Ma, Hui Zhang, Chaoqian Wang","doi":"10.1007/s00285-026-02413-2","DOIUrl":"10.1007/s00285-026-02413-2","url":null,"abstract":"<p><p>Interspecific mutualism is a universal phenomenon that exists in biological and social populations. The generation and maintenance of such mutualism have always been a hotspot in evolutionary biology. This study enriches the research on the evolution of mutualism in structured populations from a theoretical perspective. In particular, we develop an evolutionary model of arbitrary interdependent populations using the coalescent random walk theory and employ it to derive the conditions for mutualism under weak selection. We find that evolution favors mutualism when the strength of intraspecific interactions exceeds a threshold value, which depends on the structure of multiple populations and game parameters. We thus reveal the positive role of intraspecific interactions on the evolution of mutualism, which extends prior research that considered the single effect of interspecific interactions.</p>","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"93 1","pages":""},"PeriodicalIF":2.7,"publicationDate":"2026-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148310324","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}

{"title":"A two-species competition model on a compact metric graph for the invasion and competition of Aedes Aegypti and Aedes Albopictus mosquitoes in Florida.","authors":"Canrong Tian, Lan Zou, Shigui Ruan","doi":"10.1007/s00285-026-02421-2","DOIUrl":"10.1007/s00285-026-02421-2","url":null,"abstract":"<p><p>Motivated by the invasion of Aedes albopictus mosquitoes and the interspecific competition between Aedes aegypti and Aedes albopictus in Florida, we formulate a two-species competition model on a compact metric graph. This model accounts for the species' ability to inhabit and traverse along the graph's edges. In the scenario of weak-strong competition, we prove that solutions of the competition model converge uniformly to a semi-positive equilibrium, where either Aedes albopictus survives while Aedes aegypti goes extinct, or vice versa. Whereas for weak-weak competition, the solutions converge uniformly to a positive equilibrium, enabling the coexistence of both Aedes aegypti and Aedes albopictus. We conduct numerical simulations on the two-species competition model along Route 441 in Florida, aiming to illustrate the invasion dynamics and competitive interactions of Aedes aegypti and Aedes albopictus.</p>","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"93 1","pages":""},"PeriodicalIF":2.7,"publicationDate":"2026-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC13290966/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148310310","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}

{"title":"Correction to: Superinfection and the hypnozoite reservoir for Plasmodium vivax: a general framework.","authors":"Somya Mehra, James M McCaw, Peter G Taylor","doi":"10.1007/s00285-026-02404-3","DOIUrl":"10.1007/s00285-026-02404-3","url":null,"abstract":"","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"93 1","pages":""},"PeriodicalIF":2.7,"publicationDate":"2026-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC13291003/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148310227","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}

{"title":"Superinfection and the hypnozoite reservoir for Plasmodium vivax: a multitype branching process approximation.","authors":"Somya Mehra, Peter G Taylor","doi":"10.1007/s00285-026-02356-8","DOIUrl":"10.1007/s00285-026-02356-8","url":null,"abstract":"<p><p>Plasmodium vivax malaria is a mosquito-borne disease of significant public health importance. A defining feature of the within-host biology of P. vivax is the accrual of a hypnozoite reservoir, comprising a bank of quiescent parasites in the liver that are capable of causing relapsing blood-stage infections upon activation. Superinfection, characterised by composite blood-stage infections with parasites derived from multiple mosquito inoculation or hypnozoite activation events, is another important attribute. We have previously developed a stochastic epidemic model of P. vivax malaria, formulated as a Markov population process with countably infinitely-many types, that is adjusted for both hypnozoite accrual and blood-stage superinfection. Here, we construct a Markovian branching process with countably infinitely-many types to approximate the early stages of this epidemic model. With <math><msub><mi>P</mi> <mi>M</mi></msub> </math> denoting the mosquito population size, we consider the limit <math> <mrow><msub><mi>P</mi> <mi>M</mi></msub> <mo>→</mo> <mi>∞</mi></mrow> </math> with the ratio of the mosquito and human populations held fixed. With <math><mrow><mi>κ</mi> <mo><</mo> <mn>1</mn> <mo>/</mo> <mn>2</mn></mrow> </math> an arbitrary constant, we use a classical coupling argument to obtain a total variation bound of order <math><mrow><mi>O</mi> <mo>(</mo> <msubsup><mi>P</mi> <mi>M</mi> <mrow><mn>2</mn> <mi>κ</mi> <mo>-</mo> <mn>1</mn></mrow> </msubsup> <mo>)</mo></mrow> </math> that is valid until <math><mrow><mi>o</mi> <mo>(</mo> <msubsup><mi>P</mi> <mi>M</mi> <mi>κ</mi></msubsup> <mo>)</mo></mrow> </math> human-to-mosquito and mosquito-to-human transmission events have occurred. We characterise the probability of global disease extinction under the branching process to approximate the probability of elimination, as opposed to sustained endemic transmission, when the epidemic model is initialised with low-level human and/or mosquito infection. We apply our model to two scenarios of epidemiological interest, namely the re-introduction of P. vivax malaria in a region where elimination has previously been achieved; and a mass drug administration campaign with population-wide depletion of the hypnozoite reservoir.</p>","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"93 1","pages":""},"PeriodicalIF":2.7,"publicationDate":"2026-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC13290833/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148310250","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}

{"title":"Stoichiometric balance and sustained rhythms.","authors":"Kuan-Wei Chen, Chih-Wen Shih","doi":"10.1007/s00285-026-02419-w","DOIUrl":"10.1007/s00285-026-02419-w","url":null,"abstract":"<p><p>We investigate periodic solutions of a genetic negative feedback loop model incorporating protein-sequestration-based repression. Stoichiometry is defined as the average ratio of the concentration of repressors to that of activators over one period of a periodic solution. We examine how stoichiometric balance plays a critical role in the emergence of oscillations. Using Hopf bifurcation analysis combined with numerical simulations, we establish the existence of periodic solutions. We further analyze the stoichiometric conditions associated with oscillation generation in the system. To this end, we approximate the stoichiometry by a quantity evaluated at the bifurcation point and justify that this quantity decreases with increasing activator concentration. Our results precisely characterize the stoichiometric range in which sustained oscillations occur, as inferred from the approximating quantity. The validity of this approximation is supported by the properties of Hopf bifurcation and is illustrated by numerical computations. Finally, we address the effects of differential degradation rates on the existence and stability of periodic solutions, as well as on stoichiometric balance.</p>","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"93 1","pages":""},"PeriodicalIF":2.7,"publicationDate":"2026-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC13272218/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148260427","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}

{"title":"A generalised framework for building complex networks of evolution equations.","authors":"Irmand Leblond Mikiela Ndzoumbou, Valentina Lanza, M A Aziz-Alaoui, Arnaud Ducrot, Armel Andami Ovono","doi":"10.1007/s00285-026-02346-w","DOIUrl":"10.1007/s00285-026-02346-w","url":null,"abstract":"<p><p>We present a new approach to model partial differential equation (PDE) networks. The originality of our method lies in its ability to model various types of networks, including those whose nodes (domains) are non-identical, i.e. they can have various shapes and sizes. This approach makes it possible to model phenomena with possible connections both from within domains and from their boundaries, thus offering a general overview of transmission models. We propose a general model for the scalar case, demonstrating flow conservation in the network as well as the existence, uniqueness and positivity of the solution. In addition, we develop a model for the vector case, where we establish results similar to those of the scalar case, while adding an analysis on the global bounding of the solution in mass-conserving systems. We illustrate our approach with a concrete application to a predator-prey model in a network with two nodes, to which we apply all the obtained theoretical results. Finally, numerical simulations are provided to illustrate our theoretical findings.</p>","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"93 1","pages":""},"PeriodicalIF":2.7,"publicationDate":"2026-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC13264549/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148254300","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}

{"title":"Effect of transcriptional delay on ribosome abundance control.","authors":"Pavan C Perera, Sergei S Pilyugin, Lisa Davis, Tomas Gedeon","doi":"10.1007/s00285-026-02420-3","DOIUrl":"10.1007/s00285-026-02420-3","url":null,"abstract":"<p><p>Time delays are inherent in biological processes such as transcription and translation, and they play a vital role in cellular control by altering timing of feedback loops and therefore stability of steady states. Standard ordinary differential equation (ODE) models neglect these delays, potentially eliminating important dynamic behavior. We present a mathematical model that explores the synthesis of ribosomal proteins and their mRNA in E. coli using both ODE and delay differential equation (DDE) models. Comparing these two models we discover that, while there can only be two equilibrium states in both the ODE and the DDE systems, the addition of delays destabilizes the internal equilibrium via the Hopf bifurcation, resulting in oscillatory dynamics. We show that there are parameter combinations where two stable periodic orbits coexist, and one of them terminates in a torus bifurcation giving rise to a stable torus of recurrent orbits. The existence of oscillatory behavior is consistent with experiments.</p>","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"93 1","pages":""},"PeriodicalIF":2.7,"publicationDate":"2026-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC13263304/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148229042","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}

{"title":"Spiking neural models for decision-making tasks with learning.","authors":"Sophie Jaffard, Giulia Mezzadri, Patricia Reynaud-Bouret, Etienne Tanré","doi":"10.1007/s00285-026-02415-0","DOIUrl":"10.1007/s00285-026-02415-0","url":null,"abstract":"<p><p>In cognition, response times and choices in decision-making tasks are commonly modeled using Drift Diffusion Models (DDMs), which describe the accumulation of evidence for a decision as a stochastic process, specifically a Brownian motion, with the drift rate reflecting the strength of the evidence. In the same vein, the Poisson counter model describes the accumulation of evidence as discrete events whose counts over time are modeled as Poisson processes. This model has a spiking neurons interpretation as these processes are used to model neuronal activities. However, these models lack a learning mechanism and are limited to tasks where participants have prior knowledge of the categories. To bridge the gap between cognitive and biological models, we propose a biologically plausible Spiking Neural Network (SNN) model for decision-making that incorporates a learning mechanism and whose neurons activities are modeled by a multivariate Hawkes process. First, we show a coupling result between the DDM and the Poisson counter model, establishing that these two models provide similar categorizations and reaction times and that the DDM can be approximated by spiking Poisson neurons. To go further, we show that a particular DDM with correlated noise can be derived from a Hawkes network of spiking neurons governed by a local learning rule. In addition, we designed an online categorization task to evaluate the model predictions. This work provides a significant step toward integrating biologically relevant neural mechanisms into cognitive models, fostering a deeper understanding of the relationship between neural activity and behavior.</p>","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"93 1","pages":""},"PeriodicalIF":2.7,"publicationDate":"2026-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC13263290/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148229009","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}