A. Ghsem Abadi
University of Neyshabur
[ 1 ] - Permanency and Asymptotic Behavior of The Generalized Lotka-Volterra Food Chain System
In the present paper a generalized Lotka-Volterra food chain system has been studied and also its dynamic behavior such as locally asymptotic stability has been analyzed in case of existing interspecies competition. Furthermore, it has been shown that the said system is permanent (in the sense of boundedness and uniformly persistent). Finally, it is proved that the nontrivial equilibrium point...
[ 2 ] - Addiction to Internet, Modeling and Control
In this paper, we propose a mathematical model of addiction to Internet. We investigate the effect of educational programs on the control of the addiction. We compute basic reproduction number. By using Chavez-Song theorem, we show the occurrence of backward bifurcation. We prove the global stability of the equilibrium points using geometric stability method and Lyapunov function.
Co-Authors