A time-periodic reaction-diffusion population model of a species subjected to harvesting on the boundary of a protected habitat

DOI10.1007/s42985-022-00216-wzbMath1504.35176OpenAlexW4309890742MaRDI QIDQ2108999

Jan H. van Vuuren, K. D. Searle

Publication date: 20 December 2022

Published in: SN Partial Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s42985-022-00216-w

zbMATH Keywords

asymptotic analysispopulation dynamicsreaction-diffusion modeloptimal harvest yieldoptimal yield

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Population dynamics (general) (92D25) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Cites Work

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• Effect of harvesting quota and protection zone in a reaction-diffusion model arising from fishery management
• Stability and attractivity of periodic solutions of parabolic systems with time delays
• Diffusive logistic equation with constant yield harvesting and negative density dependent emigration on the boundary
• Optimal harvesting strategy based on rearrangements of functions
• One-dimensional linear and logistic harvesting models
• Spatial Ecology via Reaction‐Diffusion Equations
• Diffusive logistic equation with constant yield harvesting, I: Steady States

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