Stationary localised patterns without Turing instability
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Publication:6142080
DOI10.1002/mma.8295OpenAlexW4224246375MaRDI QIDQ6142080
Annette L. Worthy, Fahad Al Saadi, Ahmed Hussein Msmali, Mark I. Nelson
Publication date: 21 December 2023
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.8295
Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) Simulation of dynamical systems (37M05) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10)
Cites Work
- Cross-diffusion induced instability and pattern formation for a Holling type-II predator-prey model
- Pattern formation and spatiotemporal chaos in a reaction-diffusion predator-prey system
- Dynamics of a marine plankton system: diffusive instability and pattern formation
- Dynamics in a diffusive predator-prey system with strong Allee effect and Ivlev-type functional response
- Dynamics of a Ivlev-type predator-prey system with constant rate harvesting
- The dynamical behaviors of a food chain model with impulsive effect and ivlev functional response
- An efficient Mittag-Leffler kernel approach for time-fractional advection-reaction-diffusion equation
- Permanence and stability of an Ivlev-type predator-prey system with impulsive control strategies
- Coexistence states of a Holling type-II predator-prey system
- Homoclinic orbits in reversible systems and their applications in mechanics, fluids and optics
- Relaxation oscillation profile of limit cycle in predator-prey system
- Some results on global stability of a predator-prey system
- Uniqueness of limit cycles of the predator-prey system with Beddington-DeAngelis functional response.
- Wave of chaos: New mechanism of pattern formation in spatio-temporal population dynamics.
- Mathematical biology. Vol. 2: Spatial models and biomedical applications.
- The dynamics of a predator-prey model with Ivlev's functional response concerning integrated pest management
- Heteroclinic tangles and homoclinic snaking in the unfolding of a degenerate reversible Hamiltonian-Hopf bifurcation
- A predator-prey model with Ivlev's functional response
- Spatial patterns of a predator-prey model with cross diffusion
- Spatiotemporal patterns in a diffusive predator-prey model with prey social behavior
- Bistability, wave pinning and localisation in natural reaction-diffusion systems
- Spatiotemporal patterns in a diffusive predator-prey model with protection zone and predator harvesting
- Modelling the spatio-temporal dynamics of multi-species host-parasitoid interactions: heterogeneous patterns and ecological implications
- Instabilities in spatially extended predator-prey systems: spatio-temporal patterns in the neighborhood of Turing-Hopf bifurcations
- Stability and Hopf bifurcation analysis of a predator-prey model with time delayed incomplete trophic transfer
- Localised structures in a virus-host model
- Snakes, Ladders, and Isolas of Localized Patterns
- Uniqueness of a Limit Cycle for a Predator-Prey System
- Reversible Diffeomorphisms and Flows
- A Model for Cell Polarization Without Mass Conservation
- The chemical basis of morphogenesis
- Diffusion-driven stability and bifurcation in a predator–prey system withIvlev-type functional response
- Spatiotemporal patterns induced by cross-diffusion in predator–prey model with prey herd shape effect
- Mathematical analysis of a diffusive predator-prey model with herd behavior and prey escaping
- Spatially localized structures in the Gray–Scott model
- Nonlinear Physics of Ecosystems
- Multiple localized states in centrifugally stable rotating flow
- Pattern formation outside of equilibrium
