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EXTINCTION: 作品数：424被引量：540H指数：10; 导出分析报告; 相关作者：顾永耕欧阳浩淼许少辉李跃朱建立更多>>; 相关机构：北京师范大学中国科学院中国科学院数学与系统科学研究院浙江省宁波市镇海中学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划福建省自然科学基金国家教育部博士点基金更多>>

Stationary distribution and density function analysis of stochastic SIQS epidemic model with Markov chain: 《International Journal of Biomathematics》2024年第7期25-52,共28页Yusi Cao Jing Fu; supported by the Natural Science Foundation of Changchun Normal University(No.2021-005).; In this paper,a stochastic SIQS epidemic model perturbed by both white and telephone noises is investigated.By constructing several suitable Lyapunov functions,we obtain sufficient conditions for the existence of ergo...; 关键词：Stochastic SIQS model with Markov switching standard incidence rate stationary distribution density function EXTINCTION

A stochastic SIS epidemic infectious diseases model with double stochastic perturbations: 《International Journal of Biomathematics》2024年第4期235-266,共32页Xingzhi Chen Baodan Tian Xin Xu Ruoxi Yang Shouming Zhong; supported by National Science and Technology Innovation 2030 of China Next-Generation Artificial Intelligence Major Project(Grant No.2018AAA0101800);Key Project of Technological Innovation and Application Development Plan of Chongqing(Grant No.cstc2020jscx-dxwtBX0044);Key projects of Mathematics and Finance Research Center of Sichuan University of Arts and Science(No.SCMF202201);National College Students Innovation and Entrepreneurship Training Program(No.S202110619028,202210619035).; In this paper,a stochastic SiS epidemic infectious diseases model with double stochastic perturbations is proposed.First,the existence and uniqueness of the positive global solution of the model are proved.Second,the ...; 关键词：Stochastic epidemic model Ornstein-Uhlenbeck process Brownian motion basic reproduction number EXTINCTION

Global dynamics of a Leslie-Gower predator-prey model in open advective environments: 《International Journal of Biomathematics》2024年第3期241-264,共24页Baifeng Zhang Guohong Zhang Xiaoli Wang; supported by the National Natural Science Foundation of China(11871403);Fundamental Research Funds for the Central Universities(XDJK2020B050).; This paper investigates the global dynamics of a reaction-diffusion-advection Leslie-Gower predator-prey model in open advective environments.We find that there exist critical advection rates,intrinsic growth rates,di...; 关键词：Leslie Gower predator-prey system advection global dynamics COEXISTENCE EXTINCTION

Vaccination effect on a stochastic epidemic model with healing and relapse: 《International Journal of Biomathematics》2024年第1期29-59,共31页M.M.Abdeslami L.Basri M.El Fatini I.Sekkak R.Taki; In this work,we consider a stochastic epidemic model with vaccination,healing and relapse.We prove the existence and the uniqueness of the positive solution.We establish sufficient conditions for the extinction and th...; 关键词：Stochastic epidemic model with relapse and healing VACCINATION EXTINCTION persistence in mean Markov semigroup stationary distribution

Dynamics of a stochastic multi-stage sheep brucellosis model with incomplete immunity被引量：1: 《International Journal of Biomathematics》2023年第8期231-261,共31页Wenxuan Wang Xamxinur Abdurahman; supported by the National Natural Science Foundation of China,under grant number 11861063.; This paper considered a multi-stage sheep brucellosis model with incomplete immunity.First,we established a deterministic model,calculated the basic reproduction number R_(0),set out the conditions for the global stab...; 关键词：BRUCELLOSIS incomplete immunity white noise EXTINCTION stationary distribution

A regime-switching stochastic SIR epidemic model with a saturated incidence and limited medical resources: 《International Journal of Biomathematics》2023年第7期91-110,共20页Wei Wei Wei Xu Jiankang Liu; This work is supported by the National Natural Science Foundation of China(Grant Nos.12072261 and 11872305).; The stochastic switching SIR epidemic model with saturated incidence and limited medical treatment is investigated in this paper.By using Lyapunov methods and Ito formula,we first prove that the system has a unique gl...; 关键词：Epidemic model EXTINCTION PERSISTENCE Markov switching saturated incidence

Dynamical behavior of a mosquito population suppression model composed of two sub-models: 《International Journal of Biomathematics》2023年第7期141-163,共23页Mingzhan Huang Xiaohuan Yu Shouzong Liu Xinyu Song; This work is supported by the National Natural Science Foundation of China(12071407,11901502);Training plan for young backbone teachers in Henan Province(2019GGJS157);Program for Science&Technology Innovation Talents in Universities of Henan Province(21HASTIT026);Program for Innovative Research Team(in Science and Technology)in the University of Henan Province(21IRTSTHN014);Natural Science Foundation of Henan Province(222300420016).; In this paper,a new mosquito population suppression model with stage and sex structure is constructed,which is composed of two sub-models switching each other.Sterile mosquitoes are released with period T and remain s...; 关键词：Population suppression model periodic solution EXTINCTION stability

Analysis of an avian influenza model with Allee effect and stochasticity: 《International Journal of Biomathematics》2023年第6期1-25,共25页Jing Geng Yao Wang Yu Liu Ling Yang Jie Yan; This study is supported by the National Key Research and Development Program of China(2018YFA0801103);the National Natural Science Foundation of China(Grant No.12071330 to Ling Yang,Grant No.11701405 to Jie Yan).; In this paper,we investigate a two-dimensional avian influenza model with Allee effect and stochasticity.We first show that a unique global positive solution always exists to the stochastic system for any positive ini...; 关键词：Stochastic model of avian influenza Allee effect stochastically ultimate boundness stationary distribution disease extinction

Ergodic stationary distribution of two stochastic tuberculosis models with imperfect vaccination and early and late latency被引量：1: 《International Journal of Biomathematics》2023年第6期27-56,共30页Qian Jiang Zhijun Liu; This contribution probes into ergodic stationary distribution for two stochastic SVELIT(susceptible-vaccinated-early latent-late latent-infective-treated)tuberculosis(TB)models to observe the impact of white noises an...; 关键词：TB models random perturbations Markov switching ergodic stationary distribution EXTINCTION

Persistence and periodic measure of a stochastic predator-prey model with Beddington-DeAngelis functional response被引量：1: 《International Journal of Biomathematics》2023年第6期175-207,共33页Jiangtao Yang; The research is supported by Scientific and Technological Research Program of Chongqing Municipal Education Commission(KJQN202001401 and KJQN202201419).; In this paper,we study a stochastic predator-prey model with Beddington-DeAngelis functional response and time-periodic coefficients.By analyzing the stability of the solution on the boundary and some stochastic estim...; 关键词：Predator-prey model stochastic perturbation PERSISTENCE EXTINCTION periodic measure

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