Interplay between strong Allee effect, harvesting and hydra effect of a single population discrete-time system

DOI10.1142/S1793524516500042zbMath1339.39003OpenAlexW1902588764MaRDI QIDQ2788448

Elsayed M. Elsayed, Debaldev Jana

Publication date: 19 February 2016

Published in: International Journal of Biomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793524516500042

zbMATH Keywords

harvestingpopulation dynamicsdifference equationAllee effecthydra effectBeverton-Holt model

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Additive difference equations (39A10)

Related Items (7)

Dynamic complexity and bifurcation analysis of a host-parasitoid model with Allee effect and Holling type III functional response ⋮ On the periodicity of a max-type rational difference equation ⋮ Investigating dynamical behaviors of the difference equation \(x_{n+1}= \frac{Cx_{n-5}}{A+Bx_{n-2}x_{n-5}}\) ⋮ Qualitative properties of difference equation of order six ⋮ Chaos control in a discrete-time predator–prey model with weak Allee effect ⋮ Unnamed Item ⋮ Expression and behavior of the solutions of some rational recursive sequences

Cites Work

• Chaotic dynamics of a discrete predator-prey system with prey refuge
• New method to obtain periodic solutions of period two and three of a rational difference equation
• Resurrecting the asymptotics of linear recurrences
• Constant-rate stocking of predator-prey systems
• Coexistence properties of some predator-prey systems under constant rate harvesting and stocking
• Stability regions and transition phenomena for harvested predator-prey systems
• Stability regions in predator-prey systems with constant-rate prey harvesting
• Stability analysis of a prey-predator model incorporating a prey refuge
• Global behavior of an SEIRS epidemic model with time delays
• Solutions of rational difference systems of order two
• Allee effects, extinctions, and chaotic transients in simple population models
• A discrete time version for models of population dynamics in the presence of an infection
• Solution for systems of difference equations of rational form of order two
• PERMANENCE OF SOME DISCRETE EPIDEMIC MODELS
• On the solutions and periodic nature of some systems of difference equations
• Allee effects in a discrete-time host-parasitoid model
• A SIR-model with square-root dynamics: An NSFD scheme
• Bifurcations of a Ratio-Dependent Predator-Prey System with Constant Rate Harvesting
• Simple mathematical models with very complicated dynamics

This page was built for publication: Interplay between strong Allee effect, harvesting and hydra effect of a single population discrete-time system