Predator's invasion into an isolated patch with spatially heterogeneous prey distribution

DOI10.1007/BF02458629zbMath0741.92020OpenAlexW4242468858MaRDI QIDQ1175544

Hiromi Seno

Publication date: 25 June 1992

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02458629

zbMATH Keywords

linearizationDirichlet boundary conditionsLotka-Volterra systemsequilibrium solutionlocal asymptotic stabilityvon Neumann boundary conditionscompeting speciesdensity dependent diffusiontwo-component predator-prey systems

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Ecology (92D40)

Cites Work

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• Persistence and extinction in single-species reaction-diffusion models
• Persistence and extinction in Lotka-Volterra reaction-diffusion equations
• Persistence, extinction, and critical patch number for island populations
• Spatial heterogeneity and interspecific competition
• The role of rapid dispersal in the population dynamics of competition
• Spatial patterning of spruce budworm in circular region
• Persistence and stability of single-species and prey-predator systems in spatially heterogeneous environments
• Spatial patterning of the spruce budworm
• Multiple Solutions of Two-Point Boundary Value Problems of Neumann Type with a Small Parameter
• RANDOM DISPERSAL IN THEORETICAL POPULATIONS

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