Solving Volterra-Lotka systems with diffusion by monotone iteration
From MaRDI portal
Publication:1174294
DOI10.1007/BF00168177zbMath0735.35060WikidataQ113910135 ScholiaQ113910135MaRDI QIDQ1174294
Publication date: 25 June 1992
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Dirichlet problemconvex domainpredator-prey systemsubsolutionsmonotone iteration methodstationary Volterra-Lotka system
Nonlinear boundary value problems for linear elliptic equations (35J65) Population dynamics (general) (92D25)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the monotone convergence of Newton's method
- Finite difference approximations to the Dirichlet problem for elliptic systems
- Convergence to the equilibrium state in the Volterra-Lotka diffusion equations
- Limiting behaviour for a prey-predator model with diffusion and crowding effects
- On Positive Solutions of Some Pairs of Differential Equations
- Bifurcation of steady-state solutions in predator-prey and competition systems
- On the dirichlet problem for elliptic systems
- A general monotone scheme for elliptic systems with applications to ecological models
- Newton-like methods with monotone convergence for solving nonlinear operator equations
- On the existence and uniqueness of positive steady states in the volterra-lotka ecological models with diffusion
- Stationary solutions of reaction-diffusion equations
- Ein neues Verfahren zur Einschließung der Lösungen von Operatorgleichungen
This page was built for publication: Solving Volterra-Lotka systems with diffusion by monotone iteration
