Effects of dispersal on the stability of a prey-predator system with functional response

DOI10.1016/0025-5564(82)90124-9zbMath0499.92020OpenAlexW2057349780WikidataQ115599904 ScholiaQ115599904MaRDI QIDQ1172018

J. B. Shukla, R. Nallaswamy

Publication date: 1982

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(82)90124-9

zbMATH Keywords

functional responseLotka-Volterra modelequilibrium stateLiapunov direct methodprey-predator systeminteracting specieseffects of dispersal

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20)

Related Items (2)

A nonlinear mathematical model to study the interactions of hot gases with cloud droplets and raindrops ⋮ Global stability of a system of two interacting species with convective and dispersive migration

Cites Work

• Unnamed Item
• Solutions to systems of nonlinear reaction-diffusion equations
• Nonhomogeneous spatial distributions of populations
• Competition, dispersion and coexistence
• Stability analysis of predator-prey models via the Liapunov method
• Global stability in two species interactions
• Liapunov stability of the diffusive Lotka-Volterra equations
• Stability in Gilpin and Ayala's models of competition
• Global stability in a class of prey-predator models
• A model predator-prey system with functional response
• Global stability of two species systems
• On global stability of a predator-prey system
• Global stability in Lotka-Volterra systems with diffusion
• RANDOM DISPERSAL IN THEORETICAL POPULATIONS

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