Dynamics of a Time-Delayed Lyme Disease Model with Seasonality
From MaRDI portal
Publication:5266354
DOI10.1137/16M1087916zbMath1365.35075MaRDI QIDQ5266354
Publication date: 2 June 2017
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Epidemiology (92D30) Asymptotic behavior of solutions to PDEs (35B40) Periodic solutions to PDEs (35B10) Reaction-diffusion equations (35K57) Monotone flows as dynamical systems (37C65)
Related Items (33)
Mathematical modelling of banana black Sigatoka disease with delay and seasonality ⋮ Modeling the impact of host resistance on structured tick population dynamics ⋮ STABILITY ANALYSIS AND OPTIMAL CONTROL OF A LYME DISEASE MODEL WITH INSECTICIDES SPRAYING AND VACCINATION ⋮ A periodic malaria model with two delays ⋮ Threshold dynamics of a time-delayed hantavirus infection model in periodic environments ⋮ The effect of demographic and environmental variability on disease outbreak for a dengue model with a seasonally varying vector population ⋮ Threshold dynamics of a temperature-dependent stage-structured mosquito population model with nested delays ⋮ Cost analysis of vaccination in tick-mouse transmission of Lyme disease ⋮ A nonlocal reaction-diffusion model of West Nile virus with vertical transmission ⋮ The principal eigenvalue for partially degenerate and periodic reaction-diffusion systems with time delay ⋮ Multi-cycle periodic solutions of a differential equation with delay that switches periodically ⋮ A delayed stage-structure brucellosis model with interaction among seasonality, time-varying incubation and density-dependent growth ⋮ A Delayed Succession Model With Diffusion for the Impact of Diapause on Population Growth ⋮ Mathematical Modeling for Schistosomiasis with Seasonal Influence: A Case Study in Hubei, China ⋮ Lyme disease models of tick-mouse dynamics with seasonal variation in births, deaths, and tick feeding ⋮ Dynamics of a periodic West Nile virus model with mosquito demographics ⋮ A multi-host schistosomiasis model with seasonality and time-dependent delays ⋮ Dynamics of a periodic Chikungunya model with temperature and rainfall effects ⋮ Unnamed Item ⋮ Basic reproduction number for the Brazilian spotted fever ⋮ Unnamed Item ⋮ Disease emergence in multi-patch stochastic epidemic models with demographic and seasonal variability ⋮ How ticks keep ticking in the adversity of host immune reactions ⋮ A periodic SEIRS epidemic model with a time-dependent latent period ⋮ Dynamics of a climate-based periodic Chikungunya model with incubation period ⋮ Dynamics of a Periodic Bluetongue Model with a Temperature-Dependent Incubation Period ⋮ A West Nile virus model with vertical transmission and periodic time delays ⋮ A patchy model for tick population dynamics with patch-specific developmental delays ⋮ The Effect of Demographic Variability and Periodic Fluctuations on Disease Outbreaks in a Vector–Host Epidemic Model ⋮ A periodic dengue model with diapause effect and control measures ⋮ A periodic Chikungunya model with virus mutation and transovarial transmission ⋮ Propagation dynamics of a nonlocal periodic organism model with non-monotone birth rates ⋮ Modeling the dengue fever transmission in a periodic environment
Cites Work
- Unnamed Item
- Seasonal population dynamics of ticks, and its influence on infection transmission: a semi-discrete approach
- A nonlocal spatial model for Lyme disease
- Computing the basic reproductive numbers for epidemiological models in nonhomogeneous environments
- On a new perspective of the basic reproduction number in heterogeneous environments
- On the biological interpretation of a definition for the parameter \(R _{0}\) in periodic population models
- Global dynamics of a reaction and diffusion model for Lyme disease
- Basic reproduction ratios for periodic compartmental models with time delay
- Genealogy with seasonality, the basic reproduction number, and the influenza pandemic
- On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
- Threshold dynamics for compartmental epidemic models in periodic environments
- Introduction to functional differential equations
- Developing a temperature-driven map of the basic reproductive number of the emerging tick vector of lyme disease \textit{Ixodes scapularis} in Canada
- Global attractivity in monotone and subhomogeneous almost periodic systems
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- The epidemic threshold of vector-borne diseases with seasonality
- Dynamics in a periodic competitive model with stage structure
- Effects of tick population dynamics and host densities on the persistence of tick-borne infections
- A Periodic Vector-Bias Malaria Model with Incubation Period
- Asymptotic speeds of spread and traveling waves for monotone semiflows with applications
- On strongly monotone flows
- Spectral Bound and Reproduction Number for Infinite-Dimensional Population Structure and Time Heterogeneity
- Spatial Invasion Threshold of Lyme Disease
- A Reaction-Diffusion Lyme Disease Model with Seasonality
- Global Attractors and Steady States for Uniformly Persistent Dynamical Systems
- Dynamical systems in population biology
This page was built for publication: Dynamics of a Time-Delayed Lyme Disease Model with Seasonality
