期刊文献+
共找到6篇文章
< 1 >
每页显示 20 50 100
Bifurcation analysis of a diffusive predator-prey model with hyperbolic mortality and prey-taxis
1
作者 Yan Li Zhiyi Lv +1 位作者 Fengrong Zhang Hui Hao 《International Journal of Biomathematics》 SCIE 2024年第1期251-264,共14页
In this paper,we study a diffusive predator-prey model with hyperbolic mortality and prey-taxis under homogeneous Neumann boundary condition.We first analyze the influence of prey-taxis on the local stability of const... In this paper,we study a diffusive predator-prey model with hyperbolic mortality and prey-taxis under homogeneous Neumann boundary condition.We first analyze the influence of prey-taxis on the local stability of constant equilibria.It turns out that prey-taxis has influence on the stability of the unique positive constant equilibrium,but has no influence on the stability of the trivial equilibrium and the semi-trivial equilibrium.We then derive Hopf bifurcation and steady state bifurcation related to prey-taxis,which imply that the prey-taxis plays an important role in the dynamics. 展开更多
关键词 Predator-prey model prey-taxis Hopf bifurcation steady state bifurcation
原文传递
The stationary distribution and extinction of a double thresholds HTLV-I infection model with nonlinear CTL immune response disturbed by white noise 被引量:1
2
作者 Kai Qi Daqing Jiang +1 位作者 Tasawar Hayat Ahmed Alsaedi 《International Journal of Biomathematics》 SCIE 2019年第5期221-240,共20页
This paper investigates the stochastic HTLV-I infection model with CTL immune response,and the corresponding deterministic model has two basic reproduction numbers.We consider the nonlinear CTL immune response for the... This paper investigates the stochastic HTLV-I infection model with CTL immune response,and the corresponding deterministic model has two basic reproduction numbers.We consider the nonlinear CTL immune response for the interaction between the virus and the CTL immune cells.Firstly,for the theoretical needs of system dynamical behavior,we prove that the stochastic model solution is positive and global.In atldition,we obtain the existence of ergodic stationary distribution by stochastic Lyapunov functions.Meanwhile,sufficient condition for the extinction of the stochastic system is acquired.Reasonably,the dynamical behavior of deterministic model is included in our result of stochastic model when the white noise disappears. 展开更多
关键词 HTLV-I infection CTL IMMUNE response CD4+ T cells STATIONARY distriution EXTINCTION
原文传递
Dynamics of a stochastic rabies epidemic model with Markovian switching 被引量:1
3
作者 Hao Peng Xinhong Zhang Daqing Jiang 《International Journal of Biomathematics》 SCIE 2021年第5期163-198,共36页
In this paper,we analyze a stochastic rabies epidemic model which is perturbed by both white noise and telegraph noise.First,we prove the existence of the unique global positive solution.Second,by constructing an appr... In this paper,we analyze a stochastic rabies epidemic model which is perturbed by both white noise and telegraph noise.First,we prove the existence of the unique global positive solution.Second,by constructing an appropriate Lyapunov function,we establish a sufficient condition for the existence of a unique ergodic stationary distribution of the positive solutions to the model.Then we establish sufficient conditions for the extinction of diseases.Finally,numerical simulations are introduced to illustrate our theoretical results. 展开更多
关键词 Stochastic rabies model stationary distribution Markovian chain EXTINCTION
原文传递
The asymptotic behavior of a stochastic multigroup SIS model 被引量:1
4
作者 Chunyan Ji Daqing Jiang 《International Journal of Biomathematics》 SCIE 2018年第3期115-130,共16页
In this paper, we explore the long time behavior of a multigroup Susceptible-Infected Susceptible (SIS) model with stochastic perturbations. The conditions for the disease to die out are obtained. Besides, we also s... In this paper, we explore the long time behavior of a multigroup Susceptible-Infected Susceptible (SIS) model with stochastic perturbations. The conditions for the disease to die out are obtained. Besides, we also show that the disease is fluctuating around the endemic equilibrium under some conditions. Moreover, there is a stationary distribution under stronger conditions. At last, some numerical simulations are applied to support our theoretical results. 展开更多
关键词 A multigroup Susceptible-Infected-Susceptible (SIS) model disease free equilibrium endemic equilibrium exponential stability prevail stationary distribution.
原文传递
The asymptotic behavior and ergodicity of stochastically perturbed SVIR epidemic model 被引量:1
5
作者 Yanan Zhao Daqing Jiang 《International Journal of Biomathematics》 2016年第3期177-190,共14页
In this paper, we introduce stochasticity into an SIR epidemic model with vaccina- tion. The stochasticity in the model is a standard technique in stochastic population modeling. When the perturbations are small, by t... In this paper, we introduce stochasticity into an SIR epidemic model with vaccina- tion. The stochasticity in the model is a standard technique in stochastic population modeling. When the perturbations are small, by the method of stochastic Lyapunov functions, we carry out a detailed analysis on the dynamical behavior of the stochastic model regarding of the basic reproduction number R0. If R0 ≤ 1, the solution of the model is oscillating around a steady state, which is the disease-free equilibrium of the corresponding deterministic model. If R0 〉 1, there is a stationary distribution and the solution has the ergodic property, which means that the disease will prevail. 展开更多
关键词 Stochastic SVIR epidemic model disease-free equilibrium stationary distri-bution ERGODICITY stochastic Lyapunov functions.
原文传递
Modeling a stochastic avian influenza model under regime switching and with human-to-human transmission
6
作者 Zhenfeng Shi Xinhong Zhang 《International Journal of Biomathematics》 SCIE 2020年第7期159-182,共24页
In this paper,we investigate the stochastic avian influenza model with human-to-human transmission,which is disturbed by both white and telegraph noises.First,we show that the solution of the stochastic system is posi... In this paper,we investigate the stochastic avian influenza model with human-to-human transmission,which is disturbed by both white and telegraph noises.First,we show that the solution of the stochastic system is positive and global.Furthermore,by using stochastic Lyapunov functions,we establish sufficient conditions for the existence of a unique ergodic stationary distribution.Then we obtain the conditions for extinction.Finally,numerical simulations are employed to demonstrate the analytical results. 展开更多
关键词 Stochastic avian influenza model Markovian switching stationary distribution EXTINCTION
原文传递
上一页 1 下一页 到第
使用帮助 返回顶部