CRITICAL TRAVELLING WAVES IN ONE MODEL OF THE ”REACTION-DIFFUSION” TYPE
DOI10.18287/2541-7525-2021-27-2-16-24zbMath1504.34120OpenAlexW4286321704MaRDI QIDQ5089864
Elena Andreevna Tropkina, Jondon Wang, Elena Shchepakina, Vladimir Sobolev, Li-Chun Zhang
Publication date: 15 July 2022
Published in: Vestnik of Samara University. Natural Science Series (Search for Journal in Brave)
Full work available at URL: http://mathnet.ru/eng/vsgu652
asymptotic expansionsingular perturbationsdifferential equationsintegral manifoldorder reductionslow variablesfast variablesslow invariant manifoldscritical travelling waves
Population dynamics (general) (92D25) Qualitative investigation and simulation of ordinary differential equation models (34C60) Invariant manifolds for ordinary differential equations (34C45) Singular perturbations for ordinary differential equations (34E15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Traveling wave solutions (35C07) Canard solutions to ordinary differential equations (34E17)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Singular perturbations. Introduction to system order reduction methods with applications. With a foreword by Robert O'Malley
- Slowly oscillating wavefronts of the KPP-Fisher delayed equation
- Periodic traveling wave train and point-to-periodic traveling wave for a diffusive predator-prey system with Ivlev-type functional response
- Chasse au canard
- Integral manifolds and decomposition of singularly perturbed systems
- Geometric theory of semilinear parabolic equations
- Geometric singular perturbation theory for ordinary differential equations
- Dynamical systems V. Bifurcation theory and catastrophe theory. Transl. from the Russian by N. D. Kazarinoff
- Duck trajectories in a thermal explosion problem
- Traveling waves connecting equilibrium and periodic orbit for reaction-diffusion equations with time delay and nonlocal response
- From trigger to phase waves and back again
- Integral manifolds of perturbed differential systems
- Traveling waves in the nonlocal KPP-Fisher equation: different roles of the right and the left interactions
- Periodic traveling waves for diffusion equations with time delayed and non-local responding reaction
- Travelling wave solutions in a delayed predator-prey diffusion PDE system point-to-periodic and point-to-point waves
- Traveling Waves in Diffusive Predator–Prey Equations: Periodic Orbits and Point-to-Periodic Heteroclinic Orbits
- New type of travelling wave solutions
- Paradox of enrichment and system order reduction: bacteriophages dynamics as case study