Existence, uniqueness and stability of positive steady states to a prey-predator diffusion system

DOI10.1007/S11425-008-0162-4zbMath1179.35145OpenAlexW2159375253WikidataQ115602266 ScholiaQ115602266MaRDI QIDQ1041560

Mingxin Wang, Xubo Wang

Publication date: 2 December 2009

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-008-0162-4

zbMATH Keywords

stabilitypositive solutionsbifurcationexistence and uniquenessprey-predator model

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Bifurcations in context of PDEs (35B32) General biology and biomathematics (92B05) Positive solutions to PDEs (35B09) Singular elliptic equations (35J75)

Related Items (2)

Global existence and blowup of solutions to a free boundary problem for mutualistic model ⋮ Positive solutions bifurcating from zero solution in a Lotka-Volterra competitive system with cross-diffusion effects

Cites Work

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• Uniqueness and nonuniqueness of coexistence states in the lotka‐volterra competition model
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