scholarly journals GLOBAL DYNAMICS OF DETERMINISTIC AND STOCHASTIC SIRS EPIDEMIC MODELS

2020 ◽  
Vol 0 (0) ◽  
pp. 0-0
Author(s):  
Zhewen Chen ◽  
◽  
Ruimin Zhang ◽  
Jiang Li ◽  
Xiaohui Liu ◽  
...  
Keyword(s):  
Epidemic Models ◽  
Global Dynamics

scholarly journals Global Dynamics of Infectious Disease with Arbitrary Distributed Infectious Period on Complex Networks

2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Xiaoguang Zhang ◽  
Rui Song ◽  
Gui-Quan Sun ◽  
Zhen Jin
Keyword(s):  
Complex Networks ◽  
Reproduction Number ◽  
Epidemic Models ◽  
Infectious Period ◽  
Global Dynamics ◽  
Globally Asymptotically Stable ◽  
Sis Epidemic Model ◽  
Different Types ◽  
Theoretical Results ◽  
Disease Free

Most of the current epidemic models assume that the infectious period follows an exponential distribution. However, due to individual heterogeneity and epidemic diversity, these models fail to describe the distribution of infectious periods precisely. We establish a SIS epidemic model with multistaged progression of infectious periods on complex networks, which can be used to characterize arbitrary distributions of infectious periods of the individuals. By using mathematical analysis, the basic reproduction numberR0for the model is derived. We verify that theR0depends on the average distributions of infection periods for different types of infective individuals, which extend the general theory obtained from the single infectious period epidemic models. It is proved that ifR0<1, then the disease-free equilibrium is globally asymptotically stable; otherwise the unique endemic equilibrium exists such that it is globally asymptotically attractive. Finally numerical simulations hold for the validity of our theoretical results is given.

scholarly journals Global dynamics in a class of discrete-time epidemic models with disease courses

2013 ◽  
Vol 2013 (1) ◽  
pp. 57 ◽  
Author(s):  
Lei Wang ◽  
Qianqian Cui ◽  
Zhidong Teng
Keyword(s):  
Discrete Time ◽  
Epidemic Models ◽  
Global Dynamics

scholarly journals Dynamics of SVIS Model with Holling Type IV Functional Response

2016 ◽  
Vol 11 (10) ◽  
pp. 5752-5765
Author(s):  
Mudhafar Fattah Hama
Keyword(s):  
Functional Response ◽  
Local Stability ◽  
Dynamical Behaviour ◽  
Epidemic Models ◽  
Global Dynamics ◽  
Stability Analyses ◽  
Type Iv

In this paper, we will study the effect of some epidemic concepts such as immigrants and vaccine on the dynamical behaviour of epidemic models. The existence, uniqueness and boundedness of the solution are investigated. The local stability analyses of the system is carried out .The global dynamics of the system is investigated numerically.

scholarly journals Global dynamics of a general class of multi-group epidemic models with latency and relapse

2015 ◽  
Vol 12 (1) ◽  
pp. 99-115 ◽  
Author(s):  
Xiaomei Feng ◽  
◽  
Zhidong Teng ◽  
Fengqin Zhang ◽  
Keyword(s):  
General Class ◽  
Epidemic Models ◽  
Global Dynamics
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