Isolated periodic wave solutions arising from Hopf and Poincaré bifurcations in a class of single species model
DOI10.1016/j.jde.2021.12.006zbMath1494.34113OpenAlexW4200487924MaRDI QIDQ2069169
Yu'e Xiong, Wen-tao Huang, Qin-long Wang, Pei Yu
Publication date: 20 January 2022
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2021.12.006
limit cycleHopf bifurcationsingle species population modelPoincaré bifurcationmultiple isolated periodic wave
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Reaction-diffusion equations (35K57) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Traveling wave solutions (35C07)
Cites Work
- Unnamed Item
- The mathematics behind biological invasions
- Bifurcation values for a family of planar vector fields of degree five
- Bounded traveling waves of the Burgers-Huxley equation
- Bounding the number of zeros of certain abelian integrals
- Limit cycles near homoclinic and heteroclinic loops
- Theory of values of singular point in complex autonomous differential systems
- An exactly solvable model of population dynamics with density-dependent migrations and the Allee effect
- Linear recursion formulas of quantities of singular point and applications.
- Periodic travelling waves in nonlinear reaction-diffusion equations via multiple Hopf bifurcation
- Dynamical analysis on traveling wave of a reaction-diffusion model
- Isolated periodic wave trains and local critical wave lengths for a nonlinear reaction-diffusion equation
- Limit periodic travelling wave solution of a model for biological invasions
- Allee dynamics and the spread of invading organisms
- A cubic system with twelve small amplitude limit cycles
- A Chebyshev criterion for Abelian integrals
- Global Existence and Uniqueness of Periodic Waves in a Population Model with Density-Dependent Migrations and Allee Effect
- On the number of limit cycles which appear by perturbation of separatrix loop of planar vector fields
- Plane Wave Solutions to Reaction-Diffusion Equations
- HOPF BIFURCATIONS FOR NEAR-HAMILTONIAN SYSTEMS
- Smooth and non-smooth traveling waves in a nonlinearly dispersive equation
- Perturbations from an elliptic Hamiltonian of degree four. I: Saddle loop and two saddle cycles
This page was built for publication: Isolated periodic wave solutions arising from Hopf and Poincaré bifurcations in a class of single species model
