Dynamical and numerical analyses of a generalized food-chain model
From MaRDI portal
Publication:1399716
DOI10.1016/S0096-3003(02)00282-5zbMath1016.92043OpenAlexW2022089096MaRDI QIDQ1399716
Seyed M. Moghadas, Abba B. Gumel
Publication date: 30 July 2003
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00282-5
Bifurcation theory for ordinary differential equations (34C23) Ecology (92D40) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05)
Related Items
Reliable modeling and optimization for chemical engineering applications: Interval analysis approach ⋮ An explicit positivity-preserving finite-difference scheme for the classical Fisher-Kolmogorov-Petrovsky-Piscounov equation ⋮ On the use of nonstandard finite difference methods† ⋮ A bounded linear integrator for some diffusive nonlinear time-dependent partial differential equations ⋮ A boundedness-preserving finite-difference scheme for a damped nonlinear wave equation ⋮ On an efficient implementation and mass boundedness conditions for a discrete Dirichlet problem associated with a nonlinear system of singular partial differential equations ⋮ STABILITY ANALYSIS OF A TRITROPHIC FOOD CHAIN MODEL WITH AN ADAPTIVE PARAMETER FOR THE PREDATOR ⋮ Dynamically consistent numerical methods for general productive–destructive systems ⋮ Food chain length of a ecological model with prey-taxis ⋮ A Mickens-type monotone discretization for bounded travelling-wave solutions of a Burgers–Fisher partial differential equationa*
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global stability and persistence of simple food chains
- Extinction of top-predator in a three-level food-chain model
- Suppression of numerically induced chaos with nonstandard finite difference schemes
- Homoclinic and heteroclinic orbits to a cycle in a tri-trophic food chain
- Two-parameter bifurcation in a predator-prey system of Ivlev type
- Discretizations of nonlinear differential equations using explicit nonstandard methods
- Simple food chain in a chemostat with distinct removal rates
- Uniqueness of limit cycles in a predator-prey system with Holling-type functional response