Periodic solutions for impulsive semi-ratio-dependent predator-prey systems
This paper deals with the existence of periodic solutions for a class of impulsive predator-prey models that include a general term of periodic Holling-type functional response and a constant delay. Formulating the model as an abstract equation to which the theorem of coincidence degree by Ganes and Mawhin can be applied, the authors establish sufficient technical conditions on the parameters of the model and the functional response that assure the existence of periodic solutions. These criteria extend and improve many previous works for the case of neither impulses and nor delays. In addition, the results established in the paper can be extended to discrete analogue models as well as to cases of periodic time-variable delays or state-dependent delays.
scientific article; zbMATH DE number 5563240
scientific article