On a reaction–diffusion system modelling infectious diseases without lifetime immunity
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Publication:5056786
DOI10.1017/S0956792521000231zbMath1504.35083arXiv2011.08355OpenAlexW3188074581MaRDI QIDQ5056786
Publication date: 8 December 2022
Published in: European Journal of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.08355
global attractorreaction-diffusion systemglobal existence and uniquenessinfectious disease model for cholera
Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Reaction-diffusion equations (35K57) Medical epidemiology (92C60) Initial-boundary value problems for second-order parabolic systems (35K51)
Cites Work
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- Global well-posedness and asymptotic behavior of solutions to a reaction-convection-diffusion cholera epidemic model
- Global stability and uniform persistence of the reaction-convection-diffusion cholera epidemic model
- Global stability for cholera epidemic models
- Blow-up theories for semilinear parabolic equations
- Avian influenza dynamics in wild birds with bird mobility and spatial heterogeneous environment
- An iteration procedure for a class of integrodifferential equations of parabolic type
- Nonlinear elliptic and parabolic equations involving measure data
- Infinite-dimensional dynamical systems in mechanics and physics
- Epidemic and demographic interaction in the spread of potentially fatal diseases in growing populations
- Bifurcation analysis of periodic SEIR and SIR epidemic models
- Existence of solutions for reaction-diffusion systems with \(L^1\) data
- Global dynamics of a SEIR model with varying total population size
- Diffusion, self-diffusion and cross-diffusion
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- Stability analysis and application of a mathematical cholera model
- Global classical solutions to quadratic systems with mass control in arbitrary dimensions
- Close-to-equilibrium behaviour of quadratic reaction-diffusion systems with detailed balance
- On a cross-diffusion system modeling vegetation spots and strips in a semi-arid or arid landscape
- A cholera model in a patchy environment with water and human movement
- Equazioni paraboliche del secondo ordine e spazi \({\mathfrak L}^{2,\theta} (\Omega,\delta)\)
- The Mathematics of Infectious Diseases
- Global Stability of Infectious Disease Models Using Lyapunov Functions
- Analysis of cholera epidemics with bacterial growth and spatial movement
- Global Regularity of Solutions to Systems of Reaction–Diffusion with Sub-Quadratic Growth in Any Dimension
- Global well-posedness of infectious disease models without life-time immunity: the cases of cholera and avian influenza
- Boundedness for reaction–diffusion systems with Lyapunov functions and intermediate sum conditions