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

被引：29
|
作者：
Naji, Raid Kamel [1 ]
Mustafa, Arkan N. [2 ]
机构：
[1] Univ Baghdad, Coll Sci, Dept Math, Baghdad, Iraq
[2] Univ Sulaimania, Coll Sci, Dept Math, Sulaimania, Iraq
来源：
JOURNAL OF APPLIED MATHEMATICS | 2012年
关键词：
PREDATOR-PREY MODEL; TRANSMISSIBLE DISEASE; PARASITIC INFECTION; POPULATIONS; PERSISTENCE; COMMUNITIES;
D O I：
10.1155/2012/852631
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper treats the dynamical behavior of eco-epidemiological model with nonlinear incidence rate. A Holling type-II prey-predator model with SI-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.
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页数：24
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