Dynamic Systems for Signaling Parasite-Host from Differential Equations

Bin Zhao and Lichun Liang

Abstract

Based on the stability theory of fractional order differential equations, the adaptive anti-synchronization of some fractional-order differential equations for modeling parasite-host are studied and their approximate solutions are presented. Combining the adaptive control method, the adaptive anti-synchronization, Lyapunov equations and parameter identification of some fractional-order differential equations are realized by designing suitable controllers and parameter adaptive laws. Finally, numerical simulations further demonstrate the feasibility and validity of this method.