Existence and Uniqueness of Positive Periodic Solution of an Extended Rosenzweig-MacArthur Model via Brouwer's Topological Degree
Enobong E. Joshua, Ekemini T. Akpan, Olukayode Adebimpe, Chinwendu E. Madubueze
Journal of Advances in Mathematics and Computer Science · pp. 1–10 · Published 9 Feb 2017
10.9734/BJMCS/2017/31342Abstract
The necessary conditions for existence of periodic solutions of an Extended Rosenzweig-MacArthur model are obtained using Brouwer's degree. The forward invariant set is formulated to ensure the boundedness of the solutions, using Brouwers xed point properties, and Zornslemma. Also, sucient conditions for the existence of a unique positive periodic solution have been established using Barbalats lemma and Lyapunovs functional. Numerical responses show that, the phase-ows of the non-autonomous system exhibit an asymptotically stable periodic solution which is globally attractive and trapped in the absorbing region.
Cited by 1
Enobong E. Joshua, Ekemini T. Akpa · Modern Applied Science · 2018
Related research
- Global Stability of Almost Periodic Solution of a Discrete Multispecies Gilpin-Ayala Mutualism System — shares topic coverage
- Almost Periodic Solution of a Discrete Multispecies Type Competition-predator System — shares topic coverage
- Analytical Solutions of Strongly Non-linear Problems by the Iteration Perturbation Method — shares topic coverage
Article metrics
Real usage data collected on this platform.
0
Page views
0
PDF downloads
0
Outbound clicks
1
Citations
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
No views recorded yet.
Traffic sources
Referring site, by host.
No traffic recorded yet.
Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.