The aim of this paper is to investigate the dynamic behaviors of fractional-order logistic model with Allee effects in Caputo-Fabrizio sense.First of all,we apply the two-step Adams-Bashforth scheme to discretize the ...
supported by the NSF of Shandong Province(ZR2021MA016,ZR2019MA034,ZR2018BF018);the China Postdoctoral Science Foundation(2019M652349);the Youth Creative Team Sci-Tech Program of Shandong Universities(2019KJI007).
In this paper,a discrete-time SIR epidemic model with nonlinear incidence and recovery rates is obtained by using the forward Euler’s method.The existence and stability of fixed points in this model are well studied....
This study focuses on the stability and local bifurcations of a discrete-time SIR epidemic model with logistic growth of the susceptible individuals analytically,and numerically.The analytical results are obtained usi...
This work was supported by the Higher Education Cominission of Pakistan.
In this papcr,bifurcations and chaos control in a discrete-time Lotka-Volterra predator-prey model have been studied in quadrant-I.It is shown that for all parametric values,model hus boundary equilibria:P00(0,0),Px0(...
This paper deals with a discrete-time predator-prey system which is subject to an Allee effect on prey.We investigate the existence and uniqueness and find parametric conditions for local asymptotic stability of fixed...
The stability of the predator-prey model subject to the Allee effect is an interesting topic in recent times.In this paper,we investigate the impact of weak Allee effect on the stability of a discrete-time predator-pr...
This paper is concerned with the problem of synchronization anMysis for discrete-time coupled neural networks. The networks under consideration are subject to: (1) the jump- ing parameters that are modeled as a con...
In this paper, we consider the backward Euler discretization derived from a continuous SIRS epidemic model, which contains a remaining problem that our discrete model has two solutions for infected population; one is ...
Human behavioral responses fundamentally influence the spread of infectious disease. In this paper, we study a discrete-time SIS epidemic process in random networks. Three forms of individual awareness, namely, local ...
We present an epidemic model which can incorporate essential biological detail as well as the intrinsic demographic stochastieity of the epidemic process, yet is very simple, enabling rapid generation of a large numbe...