Stability and Hopf Bifurcation for a Delayed SIR Epidemic Model with Logistic Growth
نویسندگان
چکیده
منابع مشابه
Hopf bifurcation analysis for a delayed SIRS epidemic model with a nonlinear incidence rate
This paper is concerned with a delayed SIRS epidemic model with a nonlinear incidence rate. The main results are given in terms of local stability and Hopf bifurcation. Sufficient conditions for the local stability of the positive equilibrium and existence of Hopf bifurcation are obtained by regarding the time delay as the bifurcation parameter. Further, the properties of Hopf bifurcation such ...
متن کاملStability and Hopf bifurcation in a diffusive logistic population model with nonlocal delay effect
In most cases authors are permitted to post their version of the article (e.g. in Word or Tex form) to their personal website or institutional repository. Authors requiring further information regarding Elsevier's archiving and manuscript policies are encouraged to visit: a r t i c l e i n f o a b s t r a c t A reaction–diffusion model with logistic type growth, nonlocal delay effect and Dirich...
متن کاملStability and Hopf Bifurcation Analysis of the Delay Logistic Equation
Logistic functions are good models of biological population growth. They are also popular in marketing in modelling demand-supply curves and in a different context, to chart the sales of new products over time. Delays being inherent in any biological system, we seek to analyse the effect of delays on the growth of populations governed by the logistic equation. In this paper, the local stability...
متن کاملStability and Bifurcation of an SIS Epidemic Model with Saturated Incidence Rate and Treatment Function
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 eq...
متن کاملDirection and Stability of Hopf Bifurcation in a Delayed Model with Heterogeneous Fundamentalists
In recent years we have witnessed an increasing interest in dynamical systems with time delays, especially in applied mathematics and economics (see e.g. [1-8],[9]), where it has been showed that the introduction of time delays allows the capturing of more complex dynamics, thus enriching the description of the whole system. In [6] Gori et al. have inquired whether complex dynamic phenomena obt...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2013
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2013/916130