Periodic and traveling wave solutions to Volterra-Lotka equations with diffusion

DOI10.1007/BF02458639zbMath0345.92007OpenAlexW4231298067WikidataQ68286616 ScholiaQ68286616MaRDI QIDQ1233406

W. C. Tam, Pao-Liu Chow

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1007/bf02458639

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Population dynamics (general) (92D25)

Related Items (21)

Traveling wave solutions for diffusive predator-prey type systems with nonlinear density dependence ⋮ Pursuit-evasion wave trains in prey-predator systems with diffusionally coupled delays ⋮ Traveling waves in a diffusive predator-prey model with Holling type-III functional response ⋮ Dynamic characteristics of a hyperbolic reaction–diffusion predator–prey system with self‐diffusion and nonidentical inertia ⋮ On the stability of a predator-prey system with egg-eating predators ⋮ The logistic equation with a diffusionally coupled delay ⋮ Dissipative structures associated to certain reaction-diffusion equations in mathematical ecology ⋮ Traveling wave solution in a diffusive predator-prey system with Holling type-IV functional response ⋮ Traveling wave solutions for a predator-prey system with sigmoidal response function ⋮ Traveling waves for the Lotka-Volterra predator-prey system without diffusion of the predator ⋮ Existence of traveling wave solutions for diffusive predator-prey type systems ⋮ Pattern and stability in predator-prey communities: How diffusion in spatially variable environments affects the Lotka-Volterra model ⋮ Predation across spatial scales in heterogeneous environments ⋮ Nonlinear reaction-diffusion models for interacting populations ⋮ Persistence of the weaker species in a non-homogeneous competitive system: Exact result through a quantum mechanical analogy ⋮ Invasion waves for a diffusive predator–prey model with two preys and one predator ⋮ Traveling wave solutions in a diffusive predator-prey system with Holling type-III functional response ⋮ Spatiotemporal dynamics of an NPZ model with prey-taxis and intratrophic predation ⋮ Traveling wave solutions for Gause type predator-prey systems with density dependence: a heteroclinic orbit in \(\mathbb R^4\) ⋮ Global stability of a system of two interacting species with convective and dispersive migration ⋮ On the influence of noise on the critical and oscillatory behavior of a predator-prey model: coherent stochastic resonance at the proper frequency of the system

Cites Work

• Unnamed Item
• Solutions to systems of nonlinear reaction-diffusion equations
• Nonhomogeneous spatial distributions of populations
• Nonlinear problems in the physical sciences and biology. Proceedings of a Battelle Summer Institute, Seattle, July 3-28, 1972
• Plane Wave Solutions to Reaction-Diffusion Equations

This page was built for publication: Periodic and traveling wave solutions to Volterra-Lotka equations with diffusion