Stability and bifurcation in a reaction–diffusion–advection predator–prey model

Stability 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...

The existence, bifurcation and stability of positive stationary solutions of a diffusive LeslieGower predatorprey model with Holling-type II functional responses

In this paper, we revisit a diffusive Leslie–Gower predator–preymodel with Holling-type II functional responses and Dirichlet boundary condition. It is shown that multiple positive steady state solutions exist under certain conditions on the parameters, while for another parameter region, the positive steady state solution is unique and locally asymptotically stable. Results are proved by using...

assessing political stability and instability in central asia and caucasus; case study, azerbaijan and kyrgyzstan

منطقه ی آسیای مرکزی وقفقاز به عنوان منطقه ای تاریخی و به دلیل دارا بودن ذخایر عظیم هیدرو کربنی از اهمیت ویژه ای برخوردار است. کشورهای این منطقه از عوامل عمده ی بی ثباتی نظیر عوامل جغرافیایی، اقتصادی، امنیتی، اجتماعی و سیاسی رنج می برند. پس از فروپاشی اتحاد جماهیر شوروی کشورهای منطقه از نعمت استقلال ناخواسته ای برخوردار شدند که مشکلات فوق را برای آن ها چندین برابر می کرد. در این روند برخی از این...

Bifurcation and Stability Analyses for a Coupled Brusselator Model

This paper addresses the dynamic behaviour of a chemical oscillator arising from the series coupling of two Brusselators. Of particular interest is the study of the associated Hopf bifurcation and double-Hopf bifurcations. The motion of the oscillator may either be periodic (bifurcating from a Hopf-type critical point), or quasi-periodic (bifurcating from a compound critical point). Furthermore...

Stability and bifurcation in an autoassociative memory model