A free boundary problem for a predator-prey model with nonlinear prey-taxis.

DOI10.21136/AM.2018.0227-17zbMath1488.35653OpenAlexW2794703052WikidataQ115497889 ScholiaQ115497889MaRDI QIDQ1642873

Farid Bozorgnia, Mohsen Yousefnezhad, Seyyed Abbas Mohammadi

Publication date: 15 June 2018

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21136/am.2018.0227-17

zbMATH Keywords

global existenceclassical solutionsfree boundaryprey-predator modelprey-taxis

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Free boundary problems for PDEs (35R35) General biology and biomathematics (92B05)

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Cites Work

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• Global boundedness of solutions in a reaction-diffusion system of predator-prey model with prey-taxis
• Stability of a predator-prey system with prey taxis in a general class of functional responses
• On a free boundary problem for a reaction-diffusion-advection logistic model in heterogeneous environment
• The Stefan problem for the Fisher-KPP equation
• Spreading and vanishing in the diffusive prey-predator model with a free boundary
• Global existence of classical solutions to a predator-prey model with nonlinear prey-taxis
• A user's guide to PDE models for chemotaxis
• A reaction-diffusion system modeling predator-prey with prey-taxis
• Spatial segregation in competitive interaction-diffusion equations
• Global dynamics of a ratio-dependent predator-prey system
• Spreading speed revisited: analysis of a free boundary model
• Steady states of a predator-prey model with prey-taxis
• On some free boundary problems of the prey-predator model
• Numerical algorithms for a variational problem of the spatial segregation of reaction-diffusion systems
• A free boundary problem of a predator-prey model with higher dimension and heterogeneous environment
• A Free Boundary Problem Arising in a Model of Wound Healing
• Aggregation, Blowup, and Collapse: The ABC's of Taxis in Reinforced Random Walks
• Global Stability for a Class of Predator-Prey Systems
• A free boundary problem for a predator–prey model
• Applied Partial Differential Equations

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