Diffusion and the Predator-Prey Interaction
From MaRDI portal
Publication:4146007
DOI10.1137/0133047zbMath0368.35021OpenAlexW2002357373WikidataQ115525735 ScholiaQ115525735MaRDI QIDQ4146007
Edward D. Conway, J. A. Smoller
Publication date: 1977
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0133047
Nonlinear parabolic equations (35K55) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Nonlinear higher-order PDEs (35G20) Partial differential equations of mathematical physics and other areas of application (35Q99)
Related Items
Predators–prey models with competition, Part I: Existence, bifurcation and qualitative properties, An ecological system depending on ages and diffusion, Construction and application of exact solutions of the diffusive Lotka-Volterra system: a review and new results, Equilibria and stabilities for competing-species reaction-diffusion equations with Dirichlet boundary data, Bifurcations and large-time asymptotic behavior for prey-predator reaction-diffusion equations with Dirichlet boundary data, A non-trivial solution for a \(p\)-Schrödinger-Kirchhoff-type integro-differential system by non-smooth techniques, The existence of periodic travelling waves for singularly perturbed predator prey equations via the Conley index, Coexistence and stability of a competition-diffusion system in population dynamics, Monotone scheme for finite difference equations concerning steady-state prey-predator interactions, A Singular Perturbation Result and its Application to Mathematical Ecology, Lie symmetries of the Shigesada-Kawasaki-Teramoto system, Positivity and boundedness preserving schemes for space-time fractional predator-prey reaction-diffusion model, Exact and numerical solutions of the generalized Fisher equation, Boundary value problems for quasilinear second order elliptic equations, Bounded solutions for reaction-diffusion systems with nonlinear boundary conditions, Global stability in Lotka-Volterra systems with diffusion, Behaviour of solutions of some abstract functional differential equations and application to predator—prey dynamics, Reaction-diffusion inequalities in cones, Global stability of stationary solutions of reaction-diffusion systems, Diffusive and nondiffusive population models, A qualitative study on general Gause-type predator-prey models with non-monotonic functional response, Coexistence Theorems of Steady States for Predator-Prey Interacting Systems, Stability and bifurcation of steady-state solutions for predator-prey equations, The application of centre manifolds to amplitude expansions. II. Infinite dimensional problems, A study of three species prey-predator reaction-diffusions by monotone schemes, Monotone schemes for semilinear elliptic systems related to ecology