Global solvability of prey-predator models with indirect predator-taxis
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Publication:2026456
DOI10.1007/s00033-020-01461-yzbMath1464.35019OpenAlexW3124204475WikidataQ115609376 ScholiaQ115609376MaRDI QIDQ2026456
Publication date: 19 May 2021
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-020-01461-y
Stability in context of PDEs (35B35) Population dynamics (general) (92D25) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items (20)
Global dynamics of a Lotka-Volterra type prey–predator model with diffusion and predator-taxis ⋮ Spatially nonhomogeneous periodic patterns in a delayed predator-prey model with predator-taxis diffusion ⋮ Global dynamics of a three-species spatial food chain model ⋮ Repulsive chemotaxis and predator evasion in predator–prey models with diffusion and prey-taxis ⋮ Boundedness and asymptotic behavior in a predator-prey model with indirect pursuit-evasion interaction ⋮ Pattern formation in the Holling-Tanner predator-prey model with predator-taxis. A nonstandard finite difference approach ⋮ On the fitness of predators with prey-induced dispersal in a habitat with spatial heterogeneity ⋮ Bifurcation analysis of a predator-prey model with memory-based diffusion ⋮ Qualitative properties for a three-species food chain model with cross-diffusion and intra-specific competition ⋮ On a quasilinear fully parabolic predator-prey model with indirect pursuit-evasion interaction ⋮ Double-Hopf bifurcation and pattern formation of a Gause-Kolmogorov-type system with indirect prey-taxis and direct predator-taxis ⋮ The effects of cross-diffusion and logistic source on the boundedness of solutions to a pursuit-evasion model ⋮ Dynamics of a harvested predator-prey model with predator-taxis ⋮ A predator–prey system with prey social behavior and generalized Holling III functional response: Role of predator‐taxis on spatial patterns ⋮ Perceptive movement of susceptible individuals with memory ⋮ Pursuit-evasion dynamics for Bazykin-type predator-prey model with indirect predator taxis ⋮ Global boundedness of a diffusive prey-predator model with indirect prey-taxis and predator-taxis ⋮ Indirect taxis drives spatio-temporal patterns in an extended Schoener's intraguild predator-prey model ⋮ Global existence of solutions to a two-species predator–prey parabolic chemotaxis system ⋮ Predator invasion in predator-prey model with prey-taxis in spatially heterogeneous environment
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