On periodic solutions of a discrete Nicholson’s dual system with density-dependent mortality and harvesting terms

Advances in Difference Equations

article

Eswari, Rajendiran¹  Alzabut, Jehad²  Samei, Mohammad Esmael⁴  Zhou, Hui⁶ 

[1] Department of Mathematics, Bharathidasan University;Department of Mathematics and General Sciences, Prince Sultan University;Department of Industrial Engineering, OSTIM Technical University;Department of Mathematics, Bu-Ali Sina University;Department of Medical Research, China Medical University Hospital, China Medical University;School of Mathematics, Hefei Normal University

关键词: Discrete Nicholson’s system;    Variable delays;    Continuation theorem;    Periodic solution;   

DOI  :  10.1186/s13662-021-03521-7

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this study, we discuss the existence of positive periodic solutions of a class of discrete density-dependent mortal Nicholson’s dual system with harvesting terms. By means of the continuation coincidence degree theorem, a set of sufficient conditions, which ensure that there exists at least one positive periodic solution, are established. A numerical example with graphical simulation of the model is provided to examine the validity of the main results.

【 授权许可】

CC BY