Positive periodic solutions for discrete Nicholson system with multiple time-varying delays
- Resource Type
- article
- Authors
- Xinning Niu; Huixin Liu; Dan Li; Yan Yan
- Source
- Electronic Research Archive, Vol 31, Iss 11, Pp 6982-6999 (2023)
- Subject
- discrete nicholson system
mutualism relationship
positive periodic solution
time-varying delay
continuation theorem of coincidence degree theory
Mathematics
QA1-939
Applied mathematics. Quantitative methods
T57-57.97
- Language
- English
- ISSN
- 2688-1594
Fly communities exhibit rich ecological dynamics, and one of the important influencing factors is the interaction between species. A discrete Nicholson-type system with multiple time varying delays which considers the mutualism relationship between two fly species is investigated in this paper. Sufficient conditions for the existence of positive periodic solutions are elucidated. The result is obtained by the well-known continuation theorem of coincidence degree theory. An example is attached to illustrate our result. Moreover, the actual biological descriptions obtained from our main result are explained.