Global stability of travelling waves for a class of monostable epidemic models
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Publication:2219536
DOI10.1016/j.cnsns.2020.105595zbMath1458.35434OpenAlexW3096603936MaRDI QIDQ2219536
Publication date: 20 January 2021
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2020.105595
Epidemiology (92D30) Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Traveling wave solutions (35C07)
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Cites Work
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- Speed selection and stability of wavefronts for delayed monostable reaction-diffusion equations
- Asymptotic speed of propagation and traveling wavefronts for a SIR epidemic model
- Exponential stability of traveling fronts in a diffusion epidemic system with delay
- Existence and asymptotic stability of traveling waves of discrete quasilinear monostable equations
- Asymptotic speed of spread and traveling waves for a nonlocal epidemic model
- Spreading speeds and uniqueness of traveling waves for a reaction diffusion equation with spatio-temporal delays
- Global exponential stability of traveling waves in monotone bistable systems
- Traveling fronts in monostable equations with nonlocal delayed effects
- Traveling wavefronts for time-delayed reaction-diffusion equation. II: Nonlocal nonlinearity
- Convergence to equilibrium states for a reaction-diffusion system modelling the spatial spread of a class of bacterial and viral diseases
- On the stability of waves of nonlinear parabolic systems
- Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations
- Asymptotic speeds of spread and traveling waves for integral equations and delayed reaction--diffusion models.
- Bistable waves in an epidemic model
- Fisher waves in an epidemic model
- Construction of the Leray-Schauder degree for elliptic operators in unbounded domains
- Stability of traveling waves in a monostable delayed system without quasi-monotonicity
- Spreading speeds as slowest wave speeds for cooperative systems
- Existence, uniqueness and stability of travelling waves in a discrete reaction --- diffusion monostable equation with delay
- Existence of entire solutions for delayed monostable epidemic models
- Mathematical Structures of Epidemic Systems
- Abstract Functional Differential Equations and Reaction-Diffusion Systems
- Asymptotic speeds of spread and traveling waves for monotone semiflows with applications
- A reaction-diffusion system arising in modelling man-environment diseases
- Existence and exponential stability of traveling waves for delayed reaction-diffusion systems
- Existence, uniqueness, monotonicity and asymptotic behaviour of travelling waves for epidemic models
- Global Asymptotic Stability of Traveling Waves in Delayed Reaction-Diffusion Equations
- Global Stability of Monostable Traveling Waves For Nonlocal Time-Delayed Reaction-Diffusion Equations