Propagation dynamics in a diffusive SIQR model for childhood diseases
DOI10.3934/dcdsb.2021183zbMath1492.35385OpenAlexW3182801414MaRDI QIDQ2671196
Publication date: 3 June 2022
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2021183
upper and lower solutionstraveling wave solutionsasymptotic spreadingnon-cooperative systempropagation threshold
Epidemiology (92D30) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Initial value problems for second-order parabolic equations (35K15) Traveling wave solutions (35C07)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Spatial propagation for a two component reaction-diffusion system arising in population dynamics
- Traveling waves of diffusive predator-prey systems: disease outbreak propagation
- Traveling wave solutions for delayed reaction-diffusion systems and applications to diffusive Lotka-Volterra competition models with distributed delays
- Repulsion effect on superinfecting virions by infected cells
- Thresholds and travelling waves for the geographical spread of infection
- Travelling wave solutions in multigroup age-structured epidemic models
- Minimal wave speed for a class of non-cooperative diffusion-reaction system
- Biological growth and spread modeled by systems of recursions. I: Mathematical theory
- Introduction to functional differential equations
- Homoclinic bifurcation in an SIQR model for childhood diseases
- Mathematical biology. Vol. 1: An introduction.
- Mathematical biology. Vol. 2: Spatial models and biomedical applications.
- Analysis of linear determinacy for spread in cooperative models
- Recurrent outbreaks of childhood diseases revisited: The impact of isolation
- Spreading speeds of epidemic models with nonlocal delays
- Invasion speed of a predator-prey system
- Traveling waves in epidemic models: non-monotone diffusive systems with non-monotone incidence rates
- Asymptotic speeds of spread and traveling waves for monotone semiflows with applications
- Asymptotic estimates of the solutions of nonlinear integral equations and asymptotic speeds for the spread of populations.
- TRAVELING WAVES FOR A SIMPLE DIFFUSIVE EPIDEMIC MODEL
- Travelling waves of a diffusive Kermack–McKendrick epidemic model with non-local delayed transmission
This page was built for publication: Propagation dynamics in a diffusive SIQR model for childhood diseases
