Pattern formation in the Holling-Tanner predator-prey model with predator-taxis. A nonstandard finite difference approach
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Publication:2670434
DOI10.1016/j.matcom.2022.01.028OpenAlexW4210425343WikidataQ114149911 ScholiaQ114149911MaRDI QIDQ2670434
Phindile Dumani, Heather Banda, Michael Chapwanya
Publication date: 11 March 2022
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2022.01.028
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Cites Work
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- Cross-diffusion driven instability in a predator-prey system with cross-diffusion
- Turing instability and traveling fronts for a nonlinear reaction-diffusion system with cross-diffusion
- Nonconstant positive steady states and pattern formation of 1D prey-taxis systems
- Dynamic theory of quasilinear parabolic equations. II: Reaction-diffusion systems
- Continuous traveling waves for prey-taxis
- Global existence of classical solutions to a predator-prey model with nonlinear prey-taxis
- A reaction-diffusion system modeling predator-prey with prey-taxis
- An application of the invariance principle to reaction diffusion equations
- Pattern formation of a predator-prey model with the cost of anti-predator behaviors
- Global bifurcation for a Holling-Tanner predator-prey model with prey-taxis
- Global solvability of prey-predator models with indirect predator-taxis
- Cross-diffusion-driven instability for reaction-diffusion systems: analysis and simulations
- Bifurcation and stability analysis in predator-prey model with a stage-structure for predator
- Dynamically consistent nonstandard finite difference schemes for continuous dynamical systems
- Steady states of a predator-prey model with prey-taxis
- Complex dynamic behaviors of a discrete-time predator-prey system
- Positivity-preserving nonstandard finite difference schemes for cross-diffusion equations in biosciences
- Contributions to the mathematics of the nonstandard finite difference method and applications
- Spatial patterns of the Holling–Tanner predator–prey model with nonlinear diffusion effects
- A predator-prey model with Beddington-DeAngelis functional response: a non-standard finite-difference method
- The properties of a stochastic model for the predator-prey type of interaction between two species
- An explicit nonstandard finite difference scheme for the Allen–Cahn equation
- Finite Volume Methods for Hyperbolic Problems
- Stability, Steady‐State Bifurcations, and Turing Patterns in a Predator–Prey Model with Herd Behavior and Prey‐taxis
- Dynamics and pattern formation of a diffusive predator–prey model with predator-taxis
- Global Stability for a Class of Predator-Prey Systems
- Nonstandard finite difference schemes for Michaelis–Menten type reaction‐diffusion equations
- Hopf bifurcation and Turing instability in the reaction-diffusion Holling-Tanner predator-prey model
- An explicit nonstandard finite difference scheme for the FitzHugh–Nagumo equations
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