On the Dynamics of a Discrete Predator–Prey Model

DOI10.1007/978-3-319-91092-5_15zbMath1401.92165arXiv1906.02513OpenAlexW2887573636MaRDI QIDQ4556933

Milan Biswas, Priyanka Saha, Nandadulal Bairagi

Publication date: 28 November 2018

Published in: Trends in Biomathematics: Modeling, Optimization and Computational Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.02513

zbMATH Keywords

nonlinear differential equationspredator-prey model

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items

DYNAMICAL STUDY OF DISCRETE-TIME PREY–PREDATOR MODEL WITH CONSTANT PREY REFUGE UNDER IMPRECISE BIOLOGICAL PARAMETERS

Cites Work

• Unnamed Item
• Unnamed Item
• Stability and Hopf bifurcation in a delayed ratio dependent Holling-Tanner type model
• A simple solution of the Bratu problem
• Positive and elementary stable nonstandard numerical methods with applications to predator-prey models
• Global dynamics of a discretized SIRS epidemic model with time delay
• Nonstandard finite difference method by nonlocal approximation
• Nonstandard finite-difference schemes for general two-dimensional autonomous dynamical systems
• Contributions to the mathematics of the nonstandard finite difference method and applications
• NUMERICAL STUDY OF A NON-STANDARD FINITE-DIFFERENCE SCHEME FOR THE VAN DER POL EQUATION
• An Efficient Non-standard Finite Difference Scheme for an Ionic Model of Cardiac Action Potentials
• Exact solutions to a finite-difference model of a nonlinear reaction-advection equation: Implications for numerical analysis
• A Positivity-preserving Mickens-type Discretization of an Epidemic Model
• Dynamically consistent discrete Lotka–Volterra competition systems
• Bifurcation analysis of a non-standard finite difference scheme for a time-delayed model of asset prices
• Discretization of an eco-epidemiological model and its dynamic consistency
• Dynamic consistency: a fundamental principle for constructing nonstandard finite difference schemes for differential equations