A diffusive predator-prey system with hunting cooperation in predators and prey-taxis. II: Stationary pattern formation

DOI10.1016/J.JMAA.2024.128947MaRDI QIDQ6648765

Kimun Ryu, Wonlyul Ko

Publication date: 5 December 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

predator-preyprey-taxisstationary patternhunting cooperation

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Semilinear elliptic equations (35J61) Boundary value problems for second-order elliptic systems (35J57) Pattern formations in context of PDEs (35B36)

Cites Work

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• Nonconstant positive steady states and pattern formation of 1D prey-taxis systems
• Effects of spatial grouping on the functional response of predators
• On dynamics and stationary pattern formations of a diffusive predator-prey system with hunting cooperation
• Pattern formation in a predator-mediated coexistence model with prey-taxis
• Bifurcation analysis in a predator-prey system with a functional response increasing in both predator and prey densities
• Steady states of a predator-prey model with prey-taxis
• Dynamics and pattern formation of a diffusive predator–prey model with predator-taxis
• Global dynamics and spatio-temporal patterns of predator–prey systems with density-dependent motion
• Global bifurcation of solutions for a predator–prey model with prey‐taxis
• Pattern formation in prey-taxis systems

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