DISCRETE-TIME

作品数:293被引量:514H指数:9
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Qualitative behavior of discrete-time Caputo-Fabrizio logistic model with Allee effect
《International Journal of Biomathematics》2024年第4期217-234,共18页Hatice Karakaya Senol Kartal ilhan Oztirk 
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 ...
关键词:Caputo-Fabrizio fractional derivative two-step Adams-Basforth method logistic differential equation Neimark-Sacker bifurcation Allee effect 
Complex dynamics of a discrete-time SIR model with nonlinear incidence and recovery rates
《International Journal of Biomathematics》2023年第8期1-45,共45页Xiao Yu Ming Liu Zhaowen Zheng Dongpo Hu 
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....
关键词:Discrete-time SIR epidemic model nonlinear incidence rate nonlinear recovery rate codimension-one bifurcation codimension-two bifurcation 
Bifurcations of a discrete-time SIR epidemic model with logistic growth of the susceptible individuals
《International Journal of Biomathematics》2023年第6期289-312,共24页Z.Eskandari R.Khoshsiar Ghaziani Z.Avazzadeh 
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...
关键词:SIR epidemic model stability bifurcation critical normal form coefficient numerical continuation method 
Bifurcations and chaos control in a discrete-time biological model
《International Journal of Biomathematics》2020年第4期1-31,共31页A.Q.Khan T.Khalique 
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(...
关键词:Lotka-Volterra model bifurcations and chaos center manifold theorem numerical simulation 
A study of stability and bifurcation analysis in discrete-time predator—prey system involving the Allee effect被引量:3
《International Journal of Biomathematics》2019年第1期255-269,共15页Seval Isik 
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...
关键词:PREDATOR-PREY SYSTEM fixed point stability Neimark-Sacker BIFURCATION Allee effect 
Chaos control in a discrete-time predator-prey model with weak Allee effect被引量:1
《International Journal of Biomathematics》2018年第7期123-148,共26页Saheb Pal Sourav Kumar Sasmal Nikhil Pal 
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...
关键词:Chaos control Allee effect FLIP BIFURCATION bi-stability LYAPUNOV EXPONENT 
Global synchronization of discrete-time coupled neural networks with Markovian switching and impulses
《International Journal of Biomathematics》2016年第3期157-176,共20页Jie Tan Chuandong Li 
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...
关键词:Global synchronization coupled neural networks Markovian switching impulses. 
A SIMPLE DISCRETE-TIME ANALOGUE PRESERVING THE GLOBAL STABILITY OF A CONTINUOUS SIRS EPIDEMIC MODEL
《International Journal of Biomathematics》2013年第2期1-17,共17页YOICHI ENATSU YOSHIAKI MUROYA 
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 ...
关键词:SIRS epidemic model backward Euler method global asymptotic stability. 
DISCRETE-TIME EPIDEMIC DYNAMICS WITH AWARENESS IN RANDOM NETWORKS被引量:2
《International Journal of Biomathematics》2013年第2期147-153,共7页YILUN SHANG 
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 ...
关键词:Epidemic model complex network behavioral response difference equation stability. 
STOCHASTIC DISCRETE-TIME AGE-OF-INFECTION EPIDEMIC MODELS被引量:1
《International Journal of Biomathematics》2013年第1期85-104,共20页GUY KATRIEL 
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...
关键词:Stochastic discrete-time epidemic model age-of-infection parameter estima- tion. 
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