Journal of Mathematical Biology最新文献_第2页

On a model of evolution of subspecies.

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2024-12-06 DOI: 10.1007/s00285-024-02165-x

Rahul Roy, Hideki Tanemura

引用次数: 0

Mathematical properties of pump-leak-cotransport models.

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2024-12-03 DOI: 10.1007/s00285-024-02163-z

Vincent Ouellet, Nicolas Doyon, Antoine G Godin, Pierre Marquet

引用次数: 0

Dynamics of classical solutions of a multi-strain diffusive epidemic model with mass-action transmission mechanism.

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2024-11-29 DOI: 10.1007/s00285-024-02167-9

Jamal Adetola, Keoni G Castellano, Rachidi B Salako

{"title":"Dynamics of classical solutions of a multi-strain diffusive epidemic model with mass-action transmission mechanism.","authors":"Jamal Adetola, Keoni G Castellano, Rachidi B Salako","doi":"10.1007/s00285-024-02167-9","DOIUrl":"https://doi.org/10.1007/s00285-024-02167-9","url":null,"abstract":"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 has its local reproduction function spatially homogeneous, which either strictly minimizes or maximizes the basic reproduction numbers, then the phenomenon of competitive-exclusion occurs. However, if all the local reproduction functions are spatially heterogeneous, several strains may coexist. In this case, we provide complete information on the large time behavior of classical solutions for the two-strain model when the diffusion rate is uniform within the population and the ratio of the local transmission rates is constant. Particularly, we prove the existence of two critical superimposed functions that serve as threshold values for the ratio of the transmission rates and that of the recovery rates. Furthermore, when the populations' diffusion rates are small, our result on the asymptotic profiles of coexistence endemic equilibria indicate a spatial segregation of infected populations.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"90 1","pages":"1"},"PeriodicalIF":2.2,"publicationDate":"2024-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142752137","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

Coexistence or extinction: Dynamics of multiple lizard species with competition, dispersal and intraguild predation. 共存还是灭绝？多个蜥蜴物种在竞争、分散和种内捕食下的动态变化。

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2024-11-25 DOI: 10.1007/s00285-024-02162-0

Jiawei Deng, Hongying Shu, Sanyi Tang, Lin Wang, Xiang-Sheng Wang

{"title":"Coexistence or extinction: Dynamics of multiple lizard species with competition, dispersal and intraguild predation.","authors":"Jiawei Deng, Hongying Shu, Sanyi Tang, Lin Wang, Xiang-Sheng Wang","doi":"10.1007/s00285-024-02162-0","DOIUrl":"10.1007/s00285-024-02162-0","url":null,"abstract":"Biological invasions significantly impact native ecosystems, altering ecological processes and community behaviors through predation and competition. The introduction of non-native species can lead to either coexistence or extinction within local habitats. Our research develops a lizard population model that integrates aspects of competition, intraguild predation, and the dispersal behavior of intraguild prey. We analyze the model to determine the existence and stability of various ecological equilibria, uncovering the potential for bistability under certain conditions. By employing the dispersal rate as a bifurcation parameter, we reveal complex bifurcation dynamics associated with the positive equilibrium. Additionally, we conduct a two-parameter bifurcation analysis to investigate the combined impact of dispersal and intraguild predation on ecological structures. Our findings indicate that intraguild predation not only influences the movement patterns of brown anoles but also plays a crucial role in sustaining the coexistence of different lizard species in diverse habitats.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"89 6","pages":"65"},"PeriodicalIF":2.2,"publicationDate":"2024-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142711726","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

Filtering coupled Wright-Fisher diffusions. 过滤耦合赖特-费舍扩散。

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2024-11-13 DOI: 10.1007/s00285-024-02156-y

Chiara Boetti, Matteo Ruggiero

{"title":"Filtering coupled Wright-Fisher diffusions.","authors":"Chiara Boetti, Matteo Ruggiero","doi":"10.1007/s00285-024-02156-y","DOIUrl":"10.1007/s00285-024-02156-y","url":null,"abstract":"Coupled Wright-Fisher diffusions have been recently introduced to model the temporal evolution of finitely-many allele frequencies at several loci. These are vectors of multidimensional diffusions whose dynamics are weakly coupled among loci through interaction coefficients, which make the reproductive rates for each allele depend on its frequencies at several loci. Here we consider the problem of filtering a coupled Wright-Fisher diffusion with parent-independent mutation, when this is seen as an unobserved signal in a hidden Markov model. We assume individuals are sampled multinomially at discrete times from the underlying population, whose type configuration at the loci is described by the diffusion states, and adapt recently introduced duality methods to derive the filtering and smoothing distributions. These respectively provide the conditional distribution of the diffusion states given past data, and that conditional on the entire dataset, and are key to be able to perform parameter inference on models of this type. We show that for this model these distributions are countable mixtures of tilted products of Dirichlet kernels, and describe their mixing weights and how these can be updated sequentially. The evaluation of the weights involves the transition probabilities of the dual process, which are not available in closed form. We lay out pseudo codes for the implementation of the algorithms, discuss how to handle the unavailable quantities, and briefly illustrate the procedure with synthetic data.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"89 6","pages":"64"},"PeriodicalIF":2.2,"publicationDate":"2024-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142631547","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

Vector-borne disease outbreak control via instant releases. 通过即时发布控制病媒传染病的爆发。

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2024-11-12 DOI: 10.1007/s00285-024-02159-9

Luis Almeida, Jesús Bellver-Arnau, Yannick Privat, Carlota Rebelo

{"title":"Vector-borne disease outbreak control via instant releases.","authors":"Luis Almeida, Jesús Bellver-Arnau, Yannick Privat, Carlota Rebelo","doi":"10.1007/s00285-024-02159-9","DOIUrl":"10.1007/s00285-024-02159-9","url":null,"abstract":"This paper is devoted to the study of optimal release strategies to control vector-borne diseases, such as dengue, Zika, chikungunya and malaria. Two techniques are considered: the sterile insect one (SIT), which consists in releasing sterilized males among wild vectors in order to perturb their reproduction, and the Wolbachia one (presently used mainly for mosquitoes), which consists in releasing vectors, that are infected with a bacterium limiting their vectorial capacity, in order to replace the wild population by one with reduced vectorial capacity. In each case, the time dynamics of the vector population is modeled by a system of ordinary differential equations in which the releases are represented by linear combinations of Dirac measures with positive coefficients determining their intensity. We introduce optimal control problems that we solve numerically using ad-hoc algorithms, based on writing first-order optimality conditions characterizing the best combination of Dirac measures. We then discuss the results obtained, focusing in particular on the complexity and efficiency of optimal controls and comparing the strategies obtained. Mathematical modeling can help testing a great number of scenarios that are potentially interesting in future interventions (even those that are orthogonal to the present strategies) but that would be hard, costly or even impossible to test in the field in present conditions.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"89 6","pages":"63"},"PeriodicalIF":2.2,"publicationDate":"2024-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11557670/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142631551","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

Network transformation-based analysis of biochemical systems. 基于网络转换的生化系统分析。

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2024-11-08 DOI: 10.1007/s00285-024-02152-2

Dylan Antonio Talabis, Eduardo Mendoza

{"title":"Network transformation-based analysis of biochemical systems.","authors":"Dylan Antonio Talabis, Eduardo Mendoza","doi":"10.1007/s00285-024-02152-2","DOIUrl":"10.1007/s00285-024-02152-2","url":null,"abstract":"A dynamical system obtains a wide variety of kinetic realizations, which is advantageous for the analysis of biochemical systems. A reaction network, derived from a dynamical system, may or may not possess some properties needed for a thorough analysis. We improve and extend the work of Johnston and Hong et al. on network translations to network transformations, where the network is modified while preserving the dynamical system. These transformations can shrink, extend, or retain the stoichiometric subspace. Here, we show that a positive dependent network can be translated to a weakly reversible network. Using the kinetic realizations of (1) calcium signaling in the olfactory system and (2) metabolic insulin signaling, we demonstrate the benefits of transformed systems with positive deficiency for analyzing biochemical systems. Furthermore, we present an algorithm for a network transformation of a weakly reversible non-complex factorizable kinetic (NFK) system to a weakly reversible complex factorizable kinetic (CFK) system, thereby enhancing the Subspace Coincidence Theorem for NFK systems of Nazareno et al. Finally, using the transformed kinetic realization of monolignol biosynthesis in Populus xylem, we study the structural and kinetic properties of transformed systems, including the invariance of concordance and variation of injectivity and mono-/multi-stationarity under network transformation.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"89 6","pages":"62"},"PeriodicalIF":2.2,"publicationDate":"2024-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142606880","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

Directional flow in perivascular networks: mixed finite elements for reduced-dimensional models on graphs. 血管周围网络中的定向流动：图上降维模型的混合有限元。

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2024-11-07 DOI: 10.1007/s00285-024-02154-0

Ingeborg G Gjerde, Miroslav Kuchta, Marie E Rognes, Barbara Wohlmuth

{"title":"Directional flow in perivascular networks: mixed finite elements for reduced-dimensional models on graphs.","authors":"Ingeborg G Gjerde, Miroslav Kuchta, Marie E Rognes, Barbara Wohlmuth","doi":"10.1007/s00285-024-02154-0","DOIUrl":"10.1007/s00285-024-02154-0","url":null,"abstract":"Flow of cerebrospinal fluid through perivascular pathways in and around the brain may play a crucial role in brain metabolite clearance. While the driving forces of such flows remain enigmatic, experiments have shown that pulsatility is central. In this work, we present a novel network model for simulating pulsatile fluid flow in perivascular networks, taking the form of a system of Stokes-Brinkman equations posed over a perivascular graph. We apply this model to study physiological questions concerning the mechanisms governing perivascular fluid flow in branching vascular networks. Notably, our findings reveal that even long wavelength arterial pulsations can induce directional flow in asymmetric, branching perivascular networks. In addition, we establish fundamental mathematical and numerical properties of these Stokes-Brinkman network models, with particular attention to increasing graph order and complexity. By introducing weighted norms, we show the well-posedness and stability of primal and dual variational formulations of these equations, and that of mixed finite element discretizations.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"89 6","pages":"60"},"PeriodicalIF":2.2,"publicationDate":"2024-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11543763/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142606867","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

Equilibria of large random Lotka-Volterra systems with vanishing species: a mathematical approach. 具有消失物种的大型随机 Lotka-Volterra 系统的均衡：一种数学方法。

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2024-11-07 DOI: 10.1007/s00285-024-02155-z

Imane Akjouj, Walid Hachem, Mylène Maïda, Jamal Najim

引用次数: 0

Application of the first exit time stochastic model with self-repair mechanism to human mortality rates. 将具有自我修复机制的第一出口时间随机模型应用于人类死亡率。

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2024-11-06 DOI: 10.1007/s00285-024-02150-4

Noriyuki Shimoyama, Masayasu Hosonuma

引用次数: 0