scholarly journals Nonlinear dynamics of a new seasonal epidemiological model with age-structure and nonlinear incidence rate

2021 ◽  
Vol 40 (2) ◽  
Author(s):  
Abraham J. Arenas ◽  
Gilberto González-Parra ◽  
Nicolás De La Espriella
1989 ◽  
Vol 27 (1) ◽  
pp. 49-64 ◽  
Author(s):  
H. W. Hethcote ◽  
M. A. Lewis ◽  
P. van den Driessche

2012 ◽  
Vol 2012 ◽  
pp. 1-24 ◽  
Author(s):  
Raid Kamel Naji ◽  
Arkan N. Mustafa

This paper treats the dynamical behavior of eco-epidemiological model with nonlinear incidence rate. A Holling type II prey-predator model withSI-type of disease in prey has been proposed and analyzed. The existence, uniqueness, and boundedness of the solution of the system are studied. The local and global dynamical behaviors are investigated. The conditions, which guarantee the occurring of Hopf bifurcation of the system, are established. Finally, further investigations for the global dynamics of the proposed system are carried out with the help of numerical simulations.


2016 ◽  
Vol 1 (2) ◽  
Author(s):  
Dan Yu ◽  
◽  
Shujing Gao ◽  
Youquan Luo ◽  
Feiping Xie ◽  
...  

Sign in / Sign up

Export Citation Format

Share Document