Asymptotic behavior of positive solutions to a predator-prey elliptic system with strong hunting cooperation in predators

DOI10.1016/j.physa.2019.121726OpenAlexW2949567538WikidataQ115567874 ScholiaQ115567874MaRDI QIDQ2162552

Wonlyul Ko, Kimun Ryu

Publication date: 8 August 2022

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2019.121726

zbMATH Keywords

asymptotic behaviorpredator-preyextinctioncooperation in predators

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Second-order elliptic systems (35J47) Statistical mechanics, structure of matter (82-XX)

Related Items (7)

Influence of Allee effect in prey and hunting cooperation in predator with Holling type-III functional response ⋮ Patterns of a superdiffusive consumer-resource model with hunting cooperation functional response ⋮ Mathematical analysis of a fractional resource-consumer model with disease developed in consumer ⋮ The influence of an infectious disease on a prey-predator model equipped with a fractional-order derivative ⋮ Impact of hunting cooperation and feedback control for a nonlinear hybrid Leslie-Gower predator-prey system on nonuniform time domain ⋮ Stability and cross-diffusion-driven instability in a diffusive predator-prey system with hunting cooperation functional response ⋮ On dynamics and stationary pattern formations of a diffusive predator-prey system with hunting cooperation

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• Bifurcation analysis in a predator-prey system with a functional response increasing in both predator and prey densities
• Hunting cooperation and Allee effects in predators
• A priori bounds for positive solutions of nonlinear elliptic equations
• Some remarks on Liouville type results for quasilinear elliptic equations
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• Nonexistence results and estimates for some nonlinear elliptic problems

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