Iranian Journal of Mathematical Sciences and Informatics
مجله علوم ریاضی و انفورماتیک
IJMSI
Basic Sciences
http://ijmsi.ir
1
admin
1735-4463
2008-9473
8
10.61186/ijmsi
14
8888
13
en
jalali
1399
7
1
gregorian
2020
10
1
15
2
online
1
fulltext
en
Stability and Bifurcation of an SIS Epidemic Model with Saturated Incidence Rate and Treatment Function
تخصصي
Special
پژوهشي
Research paper
<div style="text-align: justify;"> In this paper an SIS epidemic model with saturated incidence rate and treatment func- tion is proposed and studied. The existence of all feasible equilibrium points is discussed. The local stability conditions of the disease free equilibrium point and endemic equilibrium point are established with the help of basic reproduction number.However the global stabili- ty conditions of these equilibrium points are established using Lyapunov method. The local bifurcation near the disease free equilibrium point is investigated. Hopf bifurcation condi- tion, which may occurs around the endemic equilibrium point is obtained. The conditions of backward bifurcation and forward bifurcation near the disease free equilibrium point are also determined. Finally,numerical simulations are given to investigate the global dynamics of the system and con rm the obtained analytical results.</div>
Epdemic models, Local stability , Backward bifuraction ,Hopf bifurcation.
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146
http://ijmsi.ir/browse.php?a_code=A-10-2878-1&slc_lang=en&sid=1
R.
kamel Naji
10031947532846007456
10031947532846007456
Yes
Department of Mathematics, College of Science,University of Baghdad, Baghdad, Iraq
A.
Adnan Thirthar
10031947532846007457
10031947532846007457
No
Department of Mathematics, College of Science,University of Baghdad, Baghdad, Iraq