Journal of Mathematical Biology最新文献_第2页

Global stability and optimal control of an age-structured SVEIR epidemic model with waning immunity and relapses. 具有免疫力减退和复发的年龄结构 SVEIR 流行病模型的全局稳定性和最优控制。

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2024-07-22 DOI: 10.1007/s00285-024-02131-7

Shuanghong Ma, Tian Tian, Haifeng Huo

{"title":"Global stability and optimal control of an age-structured SVEIR epidemic model with waning immunity and relapses.","authors":"Shuanghong Ma, Tian Tian, Haifeng Huo","doi":"10.1007/s00285-024-02131-7","DOIUrl":"10.1007/s00285-024-02131-7","url":null,"abstract":"The efficacy of vaccination, incomplete treatment and disease relapse are critical challenges that must be faced to prevent and control the spread of infectious diseases. Age heterogeneity is also a crucial factor for this study. In this paper, we investigate a new age-structured SVEIR epidemic model with the nonlinear incidence rate, waning immunity, incomplete treatment and relapse. Next, the asymptotic smoothness, the uniform persistence and the existence of interior global attractor of the solution semi-flow generated by the system are given. We define the basic reproduction number <math><msub><mi>R</mi> <mn>0</mn></msub> </math> and prove the existence of the equilibria of the model. And we study the global asymptotic stability of the equilibria. Then the parameters of the model are estimated using tuberculosis data in China. The sensitivity analysis of <math><msub><mi>R</mi> <mn>0</mn></msub> </math> is derived by the Partial Rank Correlation Coefficient method. These main theoretical results are applied to analyze and predict the trend of tuberculosis prevalence in China. Finally, the optimal control problem of the model is discussed. We choose to take strengthening treatment and controlling relapse as the control parameters. The necessary condition for optimal control is established.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141749471","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

Biological invasion with a porous medium type diffusion in a heterogeneous space. 多孔介质类型的生物入侵在异质空间中的扩散。

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2024-07-21 DOI: 10.1007/s00285-024-02124-6

Hyunjoon Park, Yong-Jung Kim

引用次数: 0

Dynamical analysis of a stochastic maize streak virus epidemic model with logarithmic Ornstein-Uhlenbeck process. 具有对数 Ornstein-Uhlenbeck 过程的随机玉米条纹病毒流行模型的动态分析。

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2024-07-17 DOI: 10.1007/s00285-024-02127-3

Qun Liu

{"title":"Dynamical analysis of a stochastic maize streak virus epidemic model with logarithmic Ornstein-Uhlenbeck process.","authors":"Qun Liu","doi":"10.1007/s00285-024-02127-3","DOIUrl":"10.1007/s00285-024-02127-3","url":null,"abstract":"To describe the transmission dynamics of maize streak virus infection, in the paper, we first formulate a stochastic maize streak virus infection model, in which the stochastic fluctuations are depicted by a logarithmic Ornstein-Uhlenbeck process. This approach is reasonable to simulate the random impacts of main parameters both from the biological significance and the mathematical perspective. Then we investigate the detailed dynamics of the stochastic system, including the existence and uniqueness of the global solution, the existence of a stationary distribution, the exponential extinction of the infected maize and infected leafhopper vector. Especially, by solving the five-dimensional algebraic equations corresponding to the stochastic system, we obtain the specific expression of the probability density function near the quasi-endemic equilibrium of the stochastic system, which provides valuable insights into the stationary distribution. Finally, the model is discretized using the Milstein higher-order numerical method to illustrate our theoretical results numerically. Our findings provide a groundwork for better methods of preventing the spread of this type of virus.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141629206","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

Building up a model family for inflammations. 建立炎症模型家族。

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2024-07-16 DOI: 10.1007/s00285-024-02126-4

Cordula Reisch, Sandra Nickel, Hans-Michael Tautenhahn

引用次数: 0

Dynamics of the epidemiological Predator-Prey system in advective environments. 平流环境中流行病学捕食者-猎物系统的动力学。

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2024-07-15 DOI: 10.1007/s00285-024-02125-5

Yang Hua, Zengji Du, Jiang Liu

引用次数: 0

Revealing endogenous conditions for Peto's paradox via an ordinary differential equation model. 通过常微分方程模型揭示佩托悖论的内生条件。

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2024-07-06 DOI: 10.1007/s00285-024-02123-7

Haichun Kan, Yu Chen

引用次数: 0

Two wrongs do not make a right: the assumption that an inhibitor acts as an inverse activator. 两错不成全：假定抑制剂起着反向激活剂的作用。

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2024-07-05 DOI: 10.1007/s00285-024-02118-4

Chathranee Jayathilaka, Robyn Araujo, Lan Nguyen, Mark Flegg

{"title":"Two wrongs do not make a right: the assumption that an inhibitor acts as an inverse activator.","authors":"Chathranee Jayathilaka, Robyn Araujo, Lan Nguyen, Mark Flegg","doi":"10.1007/s00285-024-02118-4","DOIUrl":"10.1007/s00285-024-02118-4","url":null,"abstract":"Models of biochemical networks are often large intractable sets of differential equations. To make sense of the complexity, relationships between genes/proteins are presented as connected graphs, the edges of which are drawn to indicate activation or inhibition relationships. These diagrams are useful for drawing qualitative conclusions in many cases by the identifying recurring of topological motifs, for example positive and negative feedback loops. These topological features are usually classified under the presumption that activation and inhibition are inverse relationships. For example, inhibition of an inhibitor is often classified the same as activation of an activator within a motif classification, effectively treating them as equivalent. Whilst in many contexts this may not lead to catastrophic errors, drawing conclusions about the behavior of motifs, pathways or networks from these broad classes of topological feature without adequate mathematical descriptions can lead to obverse outcomes. We investigate the extent to which a biochemical pathway/network will behave quantitatively dissimilar to pathway/ networks with similar typologies formed by swapping inhibitors as the inverse of activators. The purpose of the study is to determine under what circumstances rudimentary qualitative assessment of network structure can provide reliable conclusions as to the quantitative behaviour of the network. Whilst there are others, We focus on two main mathematical qualities which may cause a divergence in the behaviour of two pathways/networks which would otherwise be classified as similar; (i) a modelling feature we label 'bias' and (ii) the precise positioning of activators and inhibitors within simple pathways/motifs.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11226533/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141535808","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

Prevention and control of Ebola virus transmission: mathematical modelling and data fitting. 预防和控制埃博拉病毒传播：数学建模和数据拟合。

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2024-07-04 DOI: 10.1007/s00285-024-02122-8

Huarong Ren, Rui Xu

{"title":"Prevention and control of Ebola virus transmission: mathematical modelling and data fitting.","authors":"Huarong Ren, Rui Xu","doi":"10.1007/s00285-024-02122-8","DOIUrl":"10.1007/s00285-024-02122-8","url":null,"abstract":"The Ebola virus disease (EVD) has been endemic since 1976, and the case fatality rate is extremely high. EVD is spread by infected animals, symptomatic individuals, dead bodies, and contaminated environment. In this paper, we formulate an EVD model with four transmission modes and a time delay describing the incubation period. Through dynamical analysis, we verify the importance of blocking the infection source of infected animals. We get the basic reproduction number without considering the infection source of infected animals. And, it is proven that the model has a globally attractive disease-free equilibrium when the basic reproduction number is less than unity; the disease eventually becomes endemic when the basic reproduction number is greater than unity. Taking the EVD epidemic in Sierra Leone in 2014-2016 as an example, we complete the data fitting by combining the effect of the media to obtain the unknown parameters, the basic reproduction number and its time-varying reproduction number. It is shown by parameter sensitivity analysis that the contact rate and the removal rate of infected group have the greatest influence on the prevalence of the disease. And, the disease-controlling thresholds of these two parameters are obtained. In addition, according to the existing vaccination strategy, only the inoculation ratio in high-risk areas is greater than 0.4, the effective reproduction number can be less than unity. And, the earlier the vaccination time, the greater the inoculation ratio, and the faster the disease can be controlled.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141499526","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 persistence of bipartite ecological communities with Lotka-Volterra dynamics. 具有 Lotka-Volterra 动力学的两方生态群落的持久性。

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2024-07-02 DOI: 10.1007/s00285-024-02120-w

Matt Dopson, Clive Emary

引用次数: 0

Embedding of Markov matrices for d ⩽ 4. d ⩽ 4 的马尔可夫矩阵嵌入。

IF 2.2 4区数学

Journal of Mathematical Biology Pub Date : 2024-07-02 DOI: 10.1007/s00285-024-02112-w

Michael Baake, Jeremy Sumner

引用次数: 0