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Abstract
Dynamic Systems for Signaling Parasite-Host from Differential Equations
Bin Zhao and Lichun Liang
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.