A spatial echinococcosis transmission model with time delays: Stability and traveling waves

DOI10.1142/S1793524517500814zbMath1373.35325OpenAlexW2602137355MaRDI QIDQ5348762

Cuihua Ai, Zhi Ting Xu

Publication date: 21 August 2017

Published in: International Journal of Biomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793524517500814

zbMATH Keywords

traveling wave solutionsglobally asymptotically stablediffusivelocally asymptotically stableechinococcosis transmission model

Mathematics Subject Classification ID

Epidemiology (92D30) Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Dynamical systems in biology (37N25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Traveling wave solutions (35C07)

Related Items (5)

Global dynamics of a diffusive viral infection model with general incidence function and distributed delays ⋮ A dynamical model of echinococcosis with optimal control and cost-effectiveness ⋮ On the dynamics behaviors of a stochastic echinococcosis infection model with environmental noise ⋮ A delayed diffusive influenza model with two-strain and two vaccinations ⋮ Sliding motion control of echinococcosis transmission dynamics model

Cites Work

• Unnamed Item
• Traveling waves for a diffusive SEIR epidemic model
• Global stability for reaction-diffusion equations in biology
• A reaction-diffusion model of dengue transmission
• Wave propagation in an infectious disease model
• Spreading speeds and traveling waves for non-cooperative reaction-diffusion systems
• Traveling waves in an SEIR epidemic model with the variable total population
• Global dynamics of a time-delayed echinococcosis transmission model
• Traveling waves in a Kermack-Mckendrick epidemic model with diffusion and latent period
• Monotone wavefronts for partially degenerate reaction-diffusion systems
• Spreading speed and traveling waves for a multi-type SIS epidemic model
• Traveling waves for a diffusive SIR model with delay
• Global stability of a diffusive virus dynamics model with general incidence function and time delay
• Introduction to functional differential equations
• Mathematical biology. Vol. 1: An introduction.
• Traveling waves in a delayed SIR epidemic model with nonlinear incidence
• Modeling and analysis of the transmission of echinococcosis with application to Xinjiang Uygur autonomous region of China
• Theory and applications of partial functional differential equations
• Qualitative analysis and travelling wave solutions for the SI model with vertical transmission
• Existence of traveling wave solutions for influenza model with treatment
• Dynamics of a diffusive HBV model with delayed Beddington-DeAngelis response
• Traveling waves in a diffusive influenza epidemic model with vaccination
• Traveling wave phenomena of a diffusive and vector-bias malaria model
• Traveling waves of a delayed diffusive SIR epidemic model
• Travelling wave solutions for an infection-age structured epidemic model with external supplies
• Abstract Functional Differential Equations and Reaction-Diffusion Systems
• Spatial dynamics of a time-delayed reaction and diffusion malaria model
• Travelling waves of a hepatitis B virus infection model with spatial diffusion and time delay
• Existence, uniqueness, monotonicity and asymptotic behaviour of travelling waves for epidemic models
• Travelling waves of a diffusive Kermack–McKendrick epidemic model with non-local delayed transmission

This page was built for publication: A spatial echinococcosis transmission model with time delays: Stability and traveling waves