scholarly journals Some equilibrium, stability, instability and oscillatory results for an extended discrete epidemic model with evolution memory

2013 ◽  
Vol 2013 (1) ◽  
Author(s):  
Manuel De la Sen ◽  
Santiago Alonso-Quesada
Keyword(s):  
Epidemic Model ◽  
Equilibrium Stability ◽  
Discrete Epidemic Model

scholarly journals On a modification of a discrete epidemic model

2010 ◽  
Vol 59 (11) ◽  
pp. 3559-3569 ◽  
Author(s):  
G. Papaschinopoulos ◽  
G. Stefanidou ◽  
K.B. Papadopoulos
Keyword(s):  
Epidemic Model ◽  
Discrete Epidemic Model

scholarly journals Existence and Convergence of the Positive Solutions of a Discrete Epidemic Model

2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
Zhijian Wei ◽  
Meitao Le
Keyword(s):  
Mathematical Models ◽  
Positive Solutions ◽  
Difference Equations ◽  
Epidemic Model ◽  
Sufficient Conditions ◽  
Nonlinear Difference Equations ◽  
System Of Difference Equations ◽  
Discrete Epidemic Model ◽  
Existence Of Positive Solutions

We consider a class of system of nonlinear difference equations arising from mathematical models describing a discrete epidemic model. Sufficient conditions are established that guarantee the existence of positive solutions, the existence of a unique nonnegative equilibrium, and the convergence of the positive solutions to the nonnegative equilibrium of the system of difference equations. The obtained results are new and they complement previously known results.

A discrete epidemic model with stage structure☆

2005 ◽  
Vol 26 (3) ◽  
pp. 947-958 ◽  
Author(s):  
Xiuying Li ◽  
Wendi Wang
Keyword(s):  
Epidemic Model ◽  
Stage Structure ◽  
Discrete Epidemic Model

scholarly journals A discrete epidemic model for SARS transmission and control in China

2004 ◽  
Vol 40 (13) ◽  
pp. 1491-1506 ◽  
Author(s):  
Yicang Zhou ◽  
Zhien Ma ◽  
F. Brauer
Keyword(s):  
Epidemic Model ◽  
Discrete Epidemic Model ◽  
And Control

scholarly journals On a Discrete Epidemic Model

2007 ◽  
Vol 2007 ◽  
pp. 1-10 ◽  
Author(s):  
Stevo Stevic
Keyword(s):  
Asymptotic Behavior ◽  
Difference Equation ◽  
Positive Solutions ◽  
Epidemic Model ◽  
Asymptotic Behavior Of Solutions ◽  
Negative Numbers ◽  
Initial Values ◽  
Discrete Epidemic Model ◽  
The Difference

We investigate the global asymptotic behavior of solutions of the difference equationxn+1=(1−∑j=0k−1xn−j)(1−e−Axn),n∈ℕ0, whereA∈(0,∞),k∈{2,3,…}, and the initial valuesx−k+1,x−k+2,…,x0are arbitrary negative numbers. Asymptotics of some positive solutions of the equation are also found.

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