Spatiotemporal Model of a Predator–Prey System with Herd Behavior and Quadratic Mortality

DOI10.1142/S0218127419500494zbMath1411.35258WikidataQ115523673 ScholiaQ115523673MaRDI QIDQ4632152

Teekam Singh, Sandip Banerjee

Publication date: 26 April 2019

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

mortalityreaction-diffusion equationsdiffusive instabilityTuring patternsherd behavior

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Pattern formations in context of PDEs (35B36)

Related Items (8)

Spatiotemporal patterns in a diffusive predator-prey model with protection zone and predator harvesting ⋮ Dynamical analysis, optimum control and pattern formation in the biological pest (EFSB) control model ⋮ Hopf-Bifurcation and Pattern Selections in a Three Trophic Level Food Web System ⋮ SPATIOTEMPORAL DYNAMICAL ANALYSIS OF A PREDATOR–PREY SYSTEM WITH FEAR AND GROUP DEFENSE IN PREY ⋮ Untangling role of cooperative hunting among predators and herd behavior in prey with a dynamical systems approach ⋮ Spatial dynamics of a fractional predator-prey system with time delay and Allee effect ⋮ Spatiotemporal dynamics in a diffusive predator-prey model with multiple Allee effect and herd behavior ⋮ Modeling the herd prey response to individualistic predators attacks

Cites Work

• Global dynamics of a predator-prey model with defense mechanism for prey
• Modeling herd behavior in population systems
• Qualitative analysis of a stochastic ratio-dependent predator-prey system
• Global qualitative analysis of a ratio-dependent predator-prey system
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• Stability, Hopf bifurcations and spatial patterns in a delayed diffusive predator-prey model with herd behavior
• Operator splitting for nonlinear reaction-diffusion systems with an entropic structure: Singular perturbation and order reduction
• Predator-prey dynamics with square root functional responses
• Instabilities in spatially extended predator-prey systems: spatio-temporal patterns in the neighborhood of Turing-Hopf bifurcations
• An impulsive two-stage predator-prey model with stage-structure and square root functional responses
• Spatial dynamics in a predator-prey model with herd behavior
• The chemical basis of morphogenesis
• BIFURCATIONS, AND TEMPORAL AND SPATIAL PATTERNS OF A MODIFIED LOTKA–VOLTERRA MODEL

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