Spreading speeds and traveling wave solutions of diffusive vector-borne disease models without monotonicity
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Publication:5880815
DOI10.1017/prm.2021.76OpenAlexW4200080492MaRDI QIDQ5880815
Xinjian Wang, Guo Lin, Shigui Ruan
Publication date: 6 March 2023
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/prm.2021.76
upper and lower solutionsminimal wave speedasymptotic spreadinggeneralized principal eigenvaluediffusive vector-borne disease model
Epidemiology (92D30) Reaction-diffusion equations (35K57) Initial value problems for second-order parabolic systems (35K45) Traveling wave solutions (35C07)
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Propagation phenomena of a vector-host disease model ⋮ Spatial propagation phenomena for a diffusive epidemic model with vaccination ⋮ Spreading speeds in two reaction-diffusion models for Polio disease ⋮ Propagation thresholds in a diffusive epidemic model with latency and vaccination ⋮ Spreading speed of a cholera epidemic model in a periodic environment ⋮ Unnamed Item ⋮ Spreading speed for an epidemic system modelling plant disease with adaptation ⋮ Spreading speeds of cellular neural networks model with time delay
Cites Work
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- Traveling waves and spread rates for a West Nile virus model
- Spatial propagation for a two component reaction-diffusion system arising in population dynamics
- Convergence to generalized transition waves for some Holling-Tanner prey-predator reaction-diffusion system
- Propagation phenomena for A reaction-advection-diffusion competition model in a periodic habitat
- Spreading speeds and traveling waves for non-cooperative reaction-diffusion systems
- The asymptotic speed of spread and traveling waves for a vector disease model
- Spreading speeds and traveling waves for periodic evolution systems
- Spreading speeds and uniqueness of traveling waves for a reaction diffusion equation with spatio-temporal delays
- Biological growth and spread modeled by systems of recursions. I: Mathematical theory
- Structured population models in biology and epidemiology.
- Traveling fronts in monostable equations with nonlocal delayed effects
- Existence and uniqueness of traveling waves for non-monotone integral equations with applications
- Existence of traveling waves for integral recursions with nonmonotone growth functions
- Asymptotic spreading in heterogeneous diffusive excitable media
- Spreading speeds for a partially cooperative 2-species reaction-diffusion model
- Multidimensional nonlinear diffusion arising in population genetics
- Mathematical biology. Vol. 2: Spatial models and biomedical applications.
- Spatial spreading of West Nile virus described by traveling waves
- Global transmission dynamics of a zika virus model
- Analysis of linear determinacy for spread in cooperative models
- On spreading speeds and traveling waves for growth and migration models in a periodic habitat
- Diffusion epidemic models with incubation and crisscross dynamics
- Unimodal dynamical systems: comparison principles, spreading speeds and travelling waves
- Spreading properties of a three-component reaction-diffusion model for the population of farmers and hunter-gatherers
- Spreading speeds of epidemic models with nonlocal delays
- Spreading speed in an integrodifference predator-prey system without comparison principle
- Spreading speed in a farmers and hunter-gatherers model arising from Neolithic transition in Europe
- Spreading speeds for multidimensional reaction-diffusion systems of the prey -- predator type
- Traveling waves and spreading speeds for time-space periodic monotone systems
- Invasion speed of a predator-prey system
- Global dynamics of a reaction-diffusion model of Zika virus transmission with seasonality
- Existence of entire solutions for delayed monostable epidemic models
- Spreading Speeds and Linear Determinacy for Two Species Competition Systems with Nonlocal Dispersal in Periodic Habitats
- A Nonlocal and Time-Delayed Reaction-Diffusion Model of Dengue Transmission
- Long-Time Behavior of a Class of Biological Models
- Asymptotic speeds of spread and traveling waves for monotone semiflows with applications
- Spreading Speeds and Traveling Waves for Nonmonotone Integrodifference Equations
- Front Propagation in Heterogeneous Media
- Non-cooperative Fisher–KPP systems: traveling waves and long-time behavior
- On the Basic Reproduction Number of Reaction-Diffusion Epidemic Models
- On a vector-host epidemic model with spatial structure
- Stability of steady states and existence of travelling waves in a vector-disease model
- Existence, uniqueness, monotonicity and asymptotic behaviour of travelling waves for epidemic models
- Asymptotic spreading speeds for a predator–prey system with two predators and one prey
- On the co‐infection of dengue fever and Zika virus
- Generalized Transition Waves and Their Properties
- Global Attractors and Steady States for Uniformly Persistent Dynamical Systems
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