Basic reproduction ratios for periodic abstract functional differential equations (with application to a spatial model for Lyme disease)

From MaRDI portal
Publication:2318457

DOI10.1007/s10884-017-9601-7zbMath1425.34086OpenAlexW2727151938MaRDI QIDQ2318457

Xiao-Qiang Zhao, Lei Zhang, Xing Liang

Publication date: 15 August 2019

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-017-9601-7




Related Items (94)

On a Competition-Diffusion-Advection System from River Ecology: Mathematical Analysis and Numerical StudyOn threshold dynamics for periodic and time-delayed impulsive systems and application to a periodic disease modelDynamic analysis of a malaria reaction-diffusion model with periodic delays and vector biasA reaction-advection-diffusion model of cholera epidemics with seasonality and human behavior changeA periodic malaria model with two delaysAnalysis of a degenerated reaction-diffusion cholera model with spatial heterogeneity and stabilized total humansA reaction-diffusion model of vector-borne disease with periodic delaysSpatial dynamics of a nonlocal model with periodic delay and competitionRole of seasonality and spatial heterogeneous in the transmission dynamics of avian influenzaA reaction-diffusion malaria model with seasonality and incubation periodAsymptotic behavior of the principal eigenvalue and the basic reproduction ratio for periodic patch modelsThreshold dynamics of a Zika model with environmental and sexual transmissions and spatial heterogeneityAnalysis of a diffusive epidemic system with spatial heterogeneity and lag effect of media impactThreshold dynamics of a reaction-diffusion equation model for cholera transmission with waning vaccine-induced immunity and seasonalityAnalysis of a two-strain malaria transmission model with spatial heterogeneity and vector-biasThreshold dynamics of a nonlocal and time-delayed West Nile virus model with seasonalityThreshold dynamics of a temperature-dependent stage-structured mosquito population model with nested delaysGlobal dynamics of a reaction-diffusion model of Zika virus transmission with seasonalityBasic reproduction ratios for almost periodic compartmental models with time delayThe effect of spatial variables on the basic reproduction ratio for a reaction-diffusion epidemic modelThe effect of advection on a predator-prey model in open advective environmentsDynamics of a reaction-advection-diffusion model for cholera transmission with human behavior changeGlobal dynamics of a reaction-diffusion brucellosis model with spatiotemporal heterogeneity and nonlocal delayGetting jab or regular test: observations from an impulsive epidemic COVID-19 modelOn the Dynamics of a Diffusive Foot-and-Mouth Disease Model with Nonlocal InfectionsThe spectral bound and basic reproduction ratio for nonlocal dispersal cooperative problemsA nonlocal reaction-diffusion model of West Nile virus with vertical transmissionModelling diapause in mosquito population growthA dengue fever model with free boundary incorporating the time‐periodicity and spatial‐heterogeneityThreshold dynamics of a time-periodic nonlocal dispersal SIS epidemic model with Neumann boundary conditionsBasic Reproduction Ratios for Time-Periodic Homogeneous Evolution SystemsA two-strain malaria transmission model with seasonality and incubation periodPropagation dynamics of a nonlocal spatial Lyme disease model in a time-space periodic habitatSpreading-vanishing scenarios in a time-periodic parasitic-mutualistic model of mistletoes and birds in heterogeneous environment with free boundaryTarget reproduction numbers for reaction-diffusion population modelsThe principal eigenvalue for partially degenerate and periodic reaction-diffusion systems with time delayModeling and analysis of a diffusive cholera model with seasonally forced intrinsic incubation period and bacterial hyperinfectivityGrowth bound and threshold dynamic for nonautonomous nondensely defined evolution problemsA partially degenerate reaction–diffusion cholera model with temporal and spatial heterogeneityDynamics analysis of a reaction-diffusion malaria model accounting for asymptomatic carriersGlobal dynamics of a time-delayed nonlocal reaction-diffusion model of within-host viral infectionsBasic reproduction ratio of a mosquito-borne disease in heterogeneous environmentTransmission dynamics of visceral leishmaniasis with PKDL and periodic delaysAsymptotic Profiles of Basic Reproduction Number for Epidemic Spreading in Heterogeneous EnvironmentDynamics on Hepatitis B Virus Infection In Vivo with Interval DelayOn cognitive epidemic models: spatial segregation versus nonpharmaceutical interventionsBasic reproduction ratios for almost periodic reaction-diffusion epidemic modelsOn a competition model in stream environments: the effects of seasonal pulses and advectionA periodic delay differential system for mosquito control with \textit{Wolbachia} incompatible insect techniqueGlobal dynamics of a dengue fever model incorporating transmission seasonalityDynamics of a periodic benthic-drift model for two species competitionA delayed stage-structure brucellosis model with interaction among seasonality, time-varying incubation and density-dependent growthSpatial dynamics of a nonlocal reaction-diffusion epidemic model in time-space periodic habitatDynamical behavior of a Lotka–Volterra competition system in open advective environmentsA Delayed Succession Model With Diffusion for the Impact of Diapause on Population GrowthMathematical Modeling for Schistosomiasis with Seasonal Influence: A Case Study in Hubei, ChinaDynamics of a periodic West Nile virus model with mosquito demographicsDynamical analysis of a reaction-diffusion mosquito-borne model in a spatially heterogeneous environmentThreshold-type result for a nonlocal diffusive cholera model with seasonally forced intrinsic incubation periodAsymptotic behavior of the principal eigenvalue and basic reproduction ratio for time-periodic reaction-diffusion systems with time delayOn the delayed vector-bias malaria model in an almost periodic environmentPeriodic traveling wave of a time periodic and diffusive epidemic model with nonlocal delayed transmissionDynamics of a seasonal brucellosis disease model with nonlocal transmission and spatial diffusionUnnamed ItemGlobal dynamics of a nonlocal periodic reaction-diffusion model of bluetongue diseaseUnnamed ItemA heterogeneous parasitic-mutualistic model of mistletoes and birds on a periodically evolving domainMathematical analysis for COVID-19 resurgence in the contaminated environmentA stage-structured SEIR model with time-dependent delays in an almost periodic environmentA periodic SEIRS epidemic model with a time-dependent latent periodEffects of impulsive harvesting and an evolving domain in a diffusive logistic model*Dynamical analysis of a reaction–diffusion SEI epidemic model with nonlinear incidence rateModeling the potential role of engineered symbiotic bacteria in malaria controlA theoretical approach to understanding rumor propagation dynamics in a spatially heterogeneous environmentThe asymptotic profile of a dengue fever model on a periodically evolving domainDynamics of a Periodic Bluetongue Model with a Temperature-Dependent Incubation PeriodA diffusive virus model with a fixed intracellular delay and combined drug treatmentsBasic reproduction ratios for periodic and time-delayed compartmental models with impulsesA West Nile virus model with vertical transmission and periodic time delaysAnalysis of a Local Diffusive SIR Model with Seasonality and Nonlocal Incidence of InfectionGlobal dynamics of a reaction-diffusion malaria modelOn a periodic age-structured mosquito population model with spatial structureThreshold dynamics of a bat-borne rabies model with periodic incubation periodsThe diffusive model for West Nile virus with advection and expanding fronts in a heterogeneous environmentGlobal Dynamics of an Ecosystem in Open Advective EnvironmentsA cross-infection model with diffusion and incubation periodTransmission dynamics of a general temporal-spatial vector-host epidemic model with an application to the dengue fever in Guangdong, ChinaGlobal dynamics of a diffusive single species model with periodic delayDynamics of a Zika virus transmission model with seasonality and periodic delaysA reaction–diffusion epidemic model with incubation period in almost periodic environmentsDynamics of a reaction-diffusion dengue fever model with incubation periods and vertical transmission in heterogeneous environmentsAsymptotic Behavior of the Basic Reproduction Ratio for Periodic Reaction-Diffusion SystemsA two-strain reaction-diffusion malaria model with seasonality and vector-biasDynamics of a multi-strain malaria model with diffusion in a periodic environment



Cites Work


This page was built for publication: Basic reproduction ratios for periodic abstract functional differential equations (with application to a spatial model for Lyme disease)