Positive periodic solution of an augmented predator-prey model with seasonal harvest of prey and migration of predator

DOI10.1007/s12190-015-0948-9zbMath1350.92040OpenAlexW1857795329WikidataQ115601648 ScholiaQ115601648MaRDI QIDQ330397

Oumar Diop, Ali Moussaoui, Abdou Sène

Publication date: 25 October 2016

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-015-0948-9

zbMATH Keywords

global stabilitypermanencecontinuation theoremDjoudj national parkHolling-type-II

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Global stability of solutions to ordinary differential equations (34D23)

Related Items

Mathematical model of fish, birds and tourists in wetlands: the impact of periodic fluctuations on the coexistence of species, GLOBAL STABILITY OF PERIODIC SOLUTIONS OF PREDATOR-PREY SYSTEM WITH HOLLING TYPE Ⅲ FUNCTIONAL RESPONSE

Cites Work

• Unnamed Item
• Unnamed Item
• The effects of migratory bird population in a nonautonomous eco-epidemiological model
• The impact of water level fluctuations on a delayed prey-predator model
• Dynamics of species in a model with two predators and one prey
• Periodic solutions to a delayed predator-prey model with Hassell-Varley type functional response
• Dynamics of a non-autonomous ratio-dependent food chain model
• Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with time delay
• Coexistence properties of some predator-prey systems under constant rate harvesting and stocking
• Coincidence degree, and nonlinear differential equations
• Stability regions and transition phenomena for harvested predator-prey systems
• Periodic solutions of delayed ratio-dependent predator--prey models with monotonic or nonmonotonic functional responses
• Predator-prey models with delay and prey harvesting
• Ordinary differential equations. An introduction to nonlinear analysis. Transl. from the German by Gerhard Metzen
• Seasonal influences on a prey-predator model
• Periodic Solutions of Single-Species Models with Periodic Delay
• Coexistence Region and Global Dynamics of a Harvested Predator-Prey System
• Dynamics of a non-autonomous ratio-dependent predator—prey system