Open AccessPeriodic solution of a stage-structured predator-prey model with Crowley-Martin type functional response
Author(s) -
Weijie Lu,
Yonghui Xia
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022454
Subject(s) - functional response , predator , predation , mathematics , type (biology) , population , coincidence , degree (music) , operator (biology) , a priori and a posteriori , biology , ecology , physics , demography , medicine , biochemistry , alternative medicine , pathology , repressor , sociology , gene , acoustics , transcription factor , philosophy , epistemology
In this paper, the existence of positive periodic solution of stage-structured predator-prey model with Crowley-Martin type functional response is investigated. The prey population fall into two categories: mature and immature prey. The predator population is dependent only on mature prey and is influenced by Crowley-Martin type functional response. Based on the Mawhin's coincidence degree theory and nontrivial estimation techniques for a priori bounds of unknown solutions to the operator equation $ Fz = \mu Nz $, we prove the existence of positive periodic solution. Finally, the effectiveness of our result is verified by an example and numerical simulation.