Hopf bifurcation analysis of a diffusive single species model with stage structure and strong Allee effect

2018 ◽  
Vol 153 ◽  
pp. 1-14 ◽  
Author(s):  
Pengmiao Hao ◽  
Xuechen Wang ◽  
Junjie Wei
Keyword(s):  
Hopf Bifurcation ◽  
Bifurcation Analysis ◽  
Allee Effect ◽  
Stage Structure ◽  
Single Species ◽  
Strong Allee Effect ◽  
Single Species Model

Stability and Bifurcation in an SI Epidemic Model with Additive Allee Effect and Time Delay

2021 ◽  
Vol 31 (04) ◽  
pp. 2150060
Author(s):  
Yangyang Lv ◽  
Lijuan Chen ◽  
Fengde Chen ◽  
Zhong Li
Keyword(s):  
Hopf Bifurcation ◽  
Time Delay ◽  
Epidemic Model ◽  
Existence And Uniqueness ◽  
Allee Effect ◽  
Stability Of Equilibria ◽  
Existence And Stability ◽  
Vital Effects ◽  
Strong Allee Effect ◽  
The Stability

In this paper, we consider an SI epidemic model incorporating additive Allee effect and time delay. The primary purpose of this paper is to study the dynamics of the above system. Firstly, for the model without time delay, we demonstrate the existence and stability of equilibria for three different cases, i.e. with weak Allee effect, with strong Allee effect, and in the critical case. We also investigate the existence and uniqueness of Hopf bifurcation and limit cycle. Secondly, for the model with time delay, the stability of equilibria and the existence of Hopf bifurcation are discussed. All the above show that both additive Allee effect and time delay have vital effects on the prevalence of the disease.

Stability and Hopf bifurcation analysis of an eco-epidemic model with a stage structure

2011 ◽  
Vol 74 (4) ◽  
pp. 1088-1106 ◽  
Author(s):  
Xiangyun Shi ◽  
Jingan Cui ◽  
Xueyong Zhou
Keyword(s):  
Hopf Bifurcation ◽  
Bifurcation Analysis ◽  
Epidemic Model ◽  
Stage Structure

scholarly journals Dynamics in a diffusive predator-prey system with stage structure and strong allee effect

2020 ◽  
Vol 19 (2) ◽  
pp. 883-910
Author(s):  
Yuying Liu ◽  
◽  
Yuxiao Guo ◽  
Junjie Wei ◽  
◽  
...  
Keyword(s):  
Allee Effect ◽  
Stage Structure ◽  
Predator Prey ◽  
Prey System ◽  
Strong Allee Effect
Sign in / Sign up

Export Citation Format

Share Document