scholarly journals An epidemiological model with a delay and a nonlinear incidence rate

1989 ◽  
Vol 27 (1) ◽  
pp. 49-64 ◽  
Author(s):  
H. W. Hethcote ◽  
M. A. Lewis ◽  
P. van den Driessche
Keyword(s):  
Incidence Rate ◽  
Epidemiological Model ◽  
Nonlinear Incidence Rate ◽  
Nonlinear Incidence

scholarly journals The Dynamics of an Eco-Epidemiological Model with Nonlinear Incidence Rate

2012 ◽  
Vol 2012 ◽  
pp. 1-24 ◽  
Author(s):  
Raid Kamel Naji ◽  
Arkan N. Mustafa
Keyword(s):  
Incidence Rate ◽  
Dynamical Behavior ◽  
Epidemiological Model ◽  
Global Dynamics ◽  
Type Ii ◽  
Nonlinear Incidence Rate ◽  
Nonlinear Incidence ◽  
Dynamical Behaviors ◽  
Predator Model ◽  
Disease In Prey

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.

Pulse Vaccination Strategy in an SIVS Epidemic Model with General Nonlinear Incidence Rate

2016 ◽  
Vol 1 (2) ◽  
Author(s):  
Dan Yu ◽  
◽  
Shujing Gao ◽  
Youquan Luo ◽  
Feiping Xie ◽  
...  
Keyword(s):  
Incidence Rate ◽  
Epidemic Model ◽  
Vaccination Strategy ◽  
Nonlinear Incidence Rate ◽  
Nonlinear Incidence ◽  
Pulse Vaccination
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