International Journal of Control, Vol.93, No.6, 1442-1460, 2020
Stage-structured control on a class of predator-prey system in almost periodic environment
In this paper, we consider a kind of stage-structured predator-prey systems with two predators and general functional responses. By applying the comparison theorem, Lyapunov functional and Mawhin's continuation theorem of coincidence degree theory, this paper gives some new sufficient conditions for the uniform persistence, globally asymptotical stability and almost-periodic solutions for the above system. Two examples and numerical simulations are provided to illustrate the main results of this paper.
Keywords:Almost-periodic oscillation;coincidence degree;predator-prey;stage structure;general functional response