Positive solutions to the prey-predator equations with dormancy of predators

DOI10.1017/S0956792523000104MaRDI QIDQ6622979

Novrianti, Naoki Tsuge, Okihiro Sawada

Publication date: 23 October 2024

Published in: (Search for Journal in Brave)

zbMATH Keywords

reaction-diffusion equationprey-predator modelinvariant regiontime-evolution operatorenclosing method

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Positive solutions to PDEs (35B09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Classical solutions to PDEs (35A09)

Cites Work

• A minimum model of prey-predator system with dormancy of predators and the paradox of enrichment
• Nonlinear partial differential equations. Asymptotic behavior of solutions and self-similar solutions
• Mathematical biology. Vol. 1: An introduction.
• A well-posedness for the reaction diffusion equations of Belousov-Zhabotinsky reaction
• Turing instabilities in prey-predator systems with dormancy of predators
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