Double periodic solutions for a ratio-dependent predator-prey system with harvesting terms on time scales
Summary: We investigate a nonautonomous ratio-dependent predator-prey model with Beddington-DeAngelis functional response and multiple harvesting terms on time scales. By means of a continuation theorem based on coincidence degree theory, we obtain a sufficient condition for the existence of at least two periodic solutions of the system. Moreover, when the time scale \(\mathbb T\) is chosen as \(\mathbb R\) or \(\mathbb Z\), the existence of the periodic solutions of the corresponding continuous and discrete models follows.
nonautonomous ratio-dependent predator-prey model
Beddington-DeAngelis functional response
scientific article; zbMATH DE number 5637347