International Journal of Biomathematics最新文献_第4页

Impacts of nonlocal fear effect and delay on a reaction-diffusion predator-prey model 非局部恐惧效应和延迟对反应扩散捕食者-猎物模型的影响

3区数学

International Journal of Biomathematics Pub Date : 2023-10-27 DOI: 10.1142/s1793524523500894

Xuebing Zhang, Jia Liu, Guanglan Wang

引用次数: 0

The analysis of deterministic and stochastic model with general information intervention 具有一般信息干预的确定性和随机模型分析

3区数学

International Journal of Biomathematics Pub Date : 2023-10-19 DOI: 10.1142/s179352452350081x

Tan Yang, Yang Lin

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引用次数: 0

A stochastic analysis of co-infection model in a finite carrying capacity population 有限承载能力群体中共同感染模型的随机分析

3区数学

International Journal of Biomathematics Pub Date : 2023-10-17 DOI: 10.1142/s1793524523500833

Qura tul Ain, Jinrong Wang

{"title":"A stochastic analysis of co-infection model in a finite carrying capacity population","authors":"Qura tul Ain, Jinrong Wang","doi":"10.1142/s1793524523500833","DOIUrl":"https://doi.org/10.1142/s1793524523500833","url":null,"abstract":"The paper focuses on the study of an epidemic model for the evolution of diseases, using stochastic models. We demonstrated the encoding of this intricate model into formalisms suitable for analysis with advanced stochastic model checkers. A co-infection model’s dynamics were modeled as an Ito–Levy stochastic differential equations system, representing a compartmental system shaped by disease complexity. Initially, we established a deterministic system based on presumptions and disease-related traits. Through non-traditional analytical methods, two key asymptotic properties: eradication and continuation in the mean were demonstrated. Section 2 provides a detailed construction of the model. Section 3 results confirm that the outcome is biologically well-behaved. Utilizing simulations, we tested and confirmed the stability of all equilibrium points. The ergodic stationary distribution and extinction conditions of the system are thoroughly analyzed. Investigations were made into the stochastic system’s probability density function, and digital simulations were employed to illustrate the probability density function and systems’ extinction. Although infectious disease control and eradication are major public health goals, global eradication proves challenging. Local disease extinction is possible, but it may reoccur. Extinction is more feasible with a lower [Formula: see text]. Notably, our simulations showed that reducing the [Formula: see text] value significantly increases the likelihood of disease extinction and reduces the probability of future recurrence. Additionally, our study provides insights into the conditions under which a disease can persist or become extinct, contributing to more effective disease control strategies in public health.","PeriodicalId":49273,"journal":{"name":"International Journal of Biomathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135944435","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

Effect of spatial memory on a predator-prey model with herd behaviour 空间记忆对具有群体行为的捕食者-猎物模型的影响

3区数学

International Journal of Biomathematics Pub Date : 2023-10-14 DOI: 10.1142/s1793524523500821

Yahong Peng, Ke Yu, Yujing Li

引用次数: 0

Impact of water stress on plants production: A study case of banana-plantain 水分胁迫对植物生产的影响:以香蕉大蕉为例

3区数学

International Journal of Biomathematics Pub Date : 2023-10-06 DOI: 10.1142/s1793524523500845

C. Kabiwa Kadje, A. Nana Yakam, S. Bowong, G. Mophou

引用次数: 0

Mathematical analysis of a Corona virus model with Caputo, Caputo-Fabrizio-Caputo fractional and Atangana-Baleanu-Caputo differential operators 冠状病毒模型的Caputo、Caputo- fabrizio -Caputo分数算子和Atangana-Baleanu-Caputo微分算子的数学分析

3区数学

International Journal of Biomathematics Pub Date : 2023-10-06 DOI: 10.1142/s1793524523500857

Ihtisham Ul Haq, Nigar Ali, Hijaz Ahmad, Ramadan Sabra, M. Daher Albalwi, Imtiaz Ahmad

引用次数: 0

Instability and bifurcation analysis of a diffusive predator-prey model with fear effect and delay 具有恐惧效应和时滞的扩散捕食-食饵模型的不稳定性和分岔分析

IF 2.2 3区数学

International Journal of Biomathematics Pub Date : 2023-09-05 DOI: 10.1142/s1793524523500808

Hongyan Sun, Jianzhi Cao, Pengmiao Hao, Lijie Zhang

引用次数: 0

Dynamics of a Predator-Prey model with mutation and nonlocal effect 具有突变和非局部效应的捕食者-猎物模型动力学

IF 2.2 3区数学

International Journal of Biomathematics Pub Date : 2023-09-01 DOI: 10.1142/s1793524523500754

Bang-Sheng Han, Shao-yue Mi, Miao-Miao Wen, Lin Zhao

引用次数: 0

Stability and spatially inhomogeneous patterns induced by nonlocal prey competition in a generalist predator-prey system 一般捕食者-猎物系统中非局部猎物竞争诱导的稳定性和空间非均匀模式

IF 2.2 3区数学

International Journal of Biomathematics Pub Date : 2023-09-01 DOI: 10.1142/s179352452350078x

Shuyang Xue, Feng Yang, Yong-Li Song

引用次数: 0

Global stability of a quasilinear predator-prey model with indirect pursuit-evasion interaction 具有间接追逐-逃避相互作用的拟线性捕食者-猎物模型的全局稳定性

IF 2.2 3区数学

International Journal of Biomathematics Pub Date : 2023-09-01 DOI: 10.1142/s1793524523500766

Chuanjia Wan, Pan Zheng, Wenhai Shan

引用次数: 1