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

Rajendiran Eswari; Jehad Alzabut; Mohammad Esmael Samei; Hui Zhou

doi:10.1186/s13662-021-03521-7

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

Adv Differ Equ. 2021;2021(1):360. doi: 10.1186/s13662-021-03521-7. Epub 2021 Jul 31.

Authors

Rajendiran Eswari¹, Jehad Alzabut^{2

3}, Mohammad Esmael Samei^{4

5}, Hui Zhou⁶

Affiliations

¹ Department of Mathematics, Bharathidasan University, Tiruchirappalli, 620 024 Tamil Nadu, India.
² Department of Mathematics and General Sciences, Prince Sultan University, Riyadh, Saudi Arabia.
³ Department of Industrial Engineering, OSTIM Technical University, 06374 Ankara, Turkey.
⁴ Department of Mathematics, Bu-Ali Sina University, Hamedan, Iran.
⁵ Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan.
⁶ School of Mathematics, Hefei Normal University, Hefei, 230039 P.R. China.

Abstract

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.

Keywords: Continuation theorem; Discrete Nicholson’s system; Periodic solution; Variable delays.