Complex Dynamics of an Epidemic Model with Optimal Vaccination and Treatment in the Presence of Population Dispersal

2021 ◽  
Vol 10 (3) ◽  
Author(s):  
Manotosh Mandal ◽  
Soovoojeet Jana ◽  
Swapan Kumar Nandi ◽  
T.K. Kar
Keyword(s):  
Epidemic Model ◽  
Complex Dynamics ◽  
Population Dispersal

Complex dynamics of an epidemic model with vaccination and treatment controls

2015 ◽  
Vol 4 (3) ◽  
pp. 318-329 ◽  
Author(s):  
Soovoojeet Jana ◽  
Palash Haldar ◽  
T. K. Kar
Keyword(s):  
Epidemic Model ◽  
Complex Dynamics

scholarly journals Complex Dynamics of an SIR Epidemic Model with Nonlinear Saturate Incidence and Recovery Rate

Entropy ◽  
2017 ◽  
Vol 19 (7) ◽  
pp. 305 ◽  
Author(s):  
Qianqian Cui ◽  
Zhipeng Qiu ◽  
Wenbin Liu ◽  
Zengyun Hu
Keyword(s):  
Epidemic Model ◽  
Recovery Rate ◽  
Complex Dynamics ◽  
Sir Epidemic Model ◽  
Sir Epidemic

Complex dynamics of a reaction–diffusion epidemic model

2012 ◽  
Vol 13 (5) ◽  
pp. 2240-2258 ◽  
Author(s):  
Weiming Wang ◽  
Yongli Cai ◽  
Mingjiang Wu ◽  
Kaifa Wang ◽  
Zhenqing Li
Keyword(s):  
Epidemic Model ◽  
Complex Dynamics ◽  
Reaction Diffusion

scholarly journals Stationary Patterns of a Cross-Diffusion Epidemic Model

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Yongli Cai ◽  
Dongxuan Chi ◽  
Wenbin Liu ◽  
Weiming Wang
Keyword(s):  
Global Stability ◽  
Basic Reproduction Number ◽  
Epidemic Model ◽  
Complex Dynamics ◽  
Reproduction Number ◽  
Steady States ◽  
Nonnegative Constant ◽  
Cross Diffusion ◽  
Existence And Nonexistence ◽  
The Basic Reproduction Number

We investigate the complex dynamics of cross-diffusionSIepidemic model. We first give the conditions of the local and global stability of the nonnegative constant steady states, which indicates that the basic reproduction number determines whether there is an endemic outbreak or not. Furthermore, we prove the existence and nonexistence of the positive nonconstant steady states, which guarantees the existence of the stationary patterns.

scholarly journals Stochastic Dynamics of an SIRS Epidemic Model with Ratio-Dependent Incidence Rate

2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
Yongli Cai ◽  
Xixi Wang ◽  
Weiming Wang ◽  
Min Zhao
Keyword(s):  
Incidence Rate ◽  
Epidemic Model ◽  
Stochastic Dynamics ◽  
Complex Dynamics ◽  
Deterministic Model ◽  
Mass Action ◽  
Sirs Epidemic Model ◽  
Stochastic Epidemic ◽  
The Stability ◽  
Disease Free

We investigate the complex dynamics of an epidemic model with nonlinear incidence rate of saturated mass action which depends on the ratio of the number of infectious individuals to that of susceptible individuals. We first deal with the boundedness, dissipation, persistence, and the stability of the disease-free and endemic points of the deterministic model. And then we prove the existence and uniqueness of the global positive solutions, stochastic boundedness, and permanence for the stochastic epidemic model. Furthermore, we perform some numerical examples to validate the analytical findings. Needless to say, both deterministic and stochastic epidemic models have their important roles.

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