Eight Positive Almost Periodic Solutions For Diffusive Predator-prey System with Harvesting Terms

A kind of diffusion predator-prey systems with Hassell-Varley functional responses and harvesting terms is proposed. By using a continuation theorem based on coincidence degree theory and inequality analysis, eight possible cases of the prior boundary of the solution of the system are analyzed in detail, and the sufficient conditions of at least eight positive almost periodic solutions of the system are established.