scholarly journals A Discrete Epidemic Model Which Incorporated Dead-Infective Population

Author(s):  
M. DE LA SEN ◽  
I. NINO
2010 ◽  
Vol 59 (11) ◽  
pp. 3559-3569 ◽  
Author(s):  
G. Papaschinopoulos ◽  
G. Stefanidou ◽  
K.B. Papadopoulos

2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
Zhijian Wei ◽  
Meitao Le

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.


2005 ◽  
Vol 26 (3) ◽  
pp. 947-958 ◽  
Author(s):  
Xiuying Li ◽  
Wendi Wang

2004 ◽  
Vol 40 (13) ◽  
pp. 1491-1506 ◽  
Author(s):  
Yicang Zhou ◽  
Zhien Ma ◽  
F. Brauer

2007 ◽  
Vol 2007 ◽  
pp. 1-10 ◽  
Author(s):  
Stevo Stevic

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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