Qualitative Analysis of a Retarded Mathematical Framework with Applications to Living Systems

Carlo Bianca, Massimiliano Ferrara, Luca Guerrini
2013 Abstract and Applied Analysis  
This paper deals with the derivation and the mathematical analysis of an autonomous and nonlinear ordinary differential-based framework. Specifically, the mathematical framework consists of a system of two ordinary differential equations: a logistic equation with a time lag and an equation for the carrying capacity that is assumed here to be time dependent. The qualitative analysis refers to the stability analysis of the coexistence equilibrium and to the derivation of sufficient conditions for
more » ... ient conditions for the existence of Hopf bifurcations. The results are of great interest in living systems, including biological and economic systems.
doi:10.1155/2013/736058 fatcat:gancqd3orfc55ha5aekwrpsdri