☆ 4.5 Article

Traveling waves for a diffusive mosquito-borne epidemic model with general incidence

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK (2022)

Related references

Note: Only part of the references are listed.

Article Ecology

Dynamics in a reaction-diffusion epidemic model via environmental driven infection in heterogenous space

Ning Wang et al.

Summary: This paper proposes a reaction-diffusion SIR epidemic model for environmental driven infection in heterogeneous space. By using a nonlinear incidence function and calculating the basic reproduction number, the stability and persistence of the model in spatially heterogeneous and spatially homogeneous cases are analyzed.

JOURNAL OF BIOLOGICAL DYNAMICS (2022)

Add to Collection

Article Mathematics, Applied

Analysis of a Reaction-Diffusion Cholera Model with Distinct Dispersal Rates in the Human Population

Jinliang Wang et al.

Summary: This paper investigates the long term behaviors of a reaction-diffusion cholera model in a bounded spatial domain with zero-flux boundary condition. It addresses the existence of global solution, uniform boundedness of solution, asymptotic smoothness of semiflows, and the existence of a global attractor. The basic reproduction number R0 is defined for disease transmission and a threshold type result is established for disease eradication or uniform persistence. Results suggest that limiting movements of susceptible individuals can eliminate cholera, while restricting mobility of infected hosts causes infected individuals to concentrate at certain points in some cases.

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS (2021)

Add to Collection

Article Mathematics, Applied

Analysis of a malaria epidemic model with age structure and spatial diffusion

Chunyue Wang et al.

Summary: This paper provides a comprehensive analysis of the threshold dynamics of an age-space structured malaria epidemic model. The model is formulated in a spatially bounded domain, with the well-posedness shown by appealing to fixed point problem theory and Picard sequences. The global attractor, explicit formula for basic reproduction number, and stability of equilibria are established through characteristic root distribution and Lyapunov functions.

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK (2021)

Add to Collection

Article Mathematics, Applied

Traveling wave of a reaction-diffusion vector-borne disease model with nonlocal effects and distributed delay

Kai Wang et al.

Summary: This paper investigates the existence and nonexistence of traveling wave solutions for a diffusive vector-borne disease model with nonlocal reaction and distributed delays, using the basic reproduction number R-0 as a threshold. It is found that the model admits traveling waves based on the value of R-0 and a critical wave speed c(m)* > 0. These theoretical results are then applied to dengue fever epidemics, studying the impact of various factors on the threshold speed c(m)*.

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS (2021)

Add to Collection

Article Mathematics

Mixed types of waves in a discrete diffusive epidemic model with nonlinear incidence and time delay

Jiangbo Zhou et al.

JOURNAL OF DIFFERENTIAL EQUATIONS (2020)

Add to Collection

Article Mathematics, Applied

Time periodic traveling wave solutions for a Kermack-McKendrick epidemic model with diffusion and seasonality

Liang Zhang et al.

JOURNAL OF EVOLUTION EQUATIONS (2020)

Add to Collection

Article Mathematics, Applied

Existence of traveling wave solutions of a deterministic vector-host epidemic model with direct transmission

Dawit Denu et al.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2020)

Add to Collection

Article Mathematics

Spatial dynamics of adengue transmission model in time-space periodic environment

Jian Fang et al.

JOURNAL OF DIFFERENTIAL EQUATIONS (2020)

Add to Collection

Article Mathematics, Applied

Periodic traveling wave of a time periodic and diffusive epidemic model with nonlocal delayed transmission

Shuang-Ming Wang et al.

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS (2020)

Add to Collection

Article Mathematics, Applied

A Reaction-Diffusion Model of Vector-Borne Disease with Periodic Delays

Ruiwen Wu et al.

JOURNAL OF NONLINEAR SCIENCE (2019)

Add to Collection

Article Biology

Modelling diapause in mosquito population growth

Yijun Lou et al.

JOURNAL OF MATHEMATICAL BIOLOGY (2019)

Add to Collection

Article Biology

The Effect of Movement Behavior on Population Density in Patchy Landscapes

Nazanin Zaker et al.

BULLETIN OF MATHEMATICAL BIOLOGY (2019)

Add to Collection

Article Mathematics, Applied

Traveling waves in the Kermack-McKendrick epidemic model with latent period

Junfeng He et al.

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK (2019)

Add to Collection

Article Mathematics, Applied

Time Periodic Traveling Waves for a Periodic and Diffusive SIR Epidemic Model

Zhi-Cheng Wang et al.

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS (2018)

Add to Collection

Article Biology

Threshold Dynamics of a Temperature-Dependent Stage-Structured Mosquito Population Model with Nested Delays

Xiunan Wang et al.

BULLETIN OF MATHEMATICAL BIOLOGY (2018)

Add to Collection

Article Mathematics, Applied

Existence and non-existence of traveling wave solutions for a nonlocal dispersal SIR epidemic model with nonlinear incidence rate

Jiangbo Zhou et al.

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS (2018)

Add to Collection

Article Mathematics, Applied

Existence of traveling wave solutions of parabolic-parabolic chemotaxis systems

Rachidi B. Salako et al.

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS (2018)

Add to Collection

Article Mathematics

Minimal wave speed for a class of non-cooperative reaction diffusion systems of three equations

Tianran Zhang

JOURNAL OF DIFFERENTIAL EQUATIONS (2017)

Add to Collection

Article Biology

Spatial spreading model and dynamics of West Nile virus in birds and mosquitoes with free boundary

Zhigui Lin et al.

JOURNAL OF MATHEMATICAL BIOLOGY (2017)

Add to Collection

Article Mathematics

EXISTENCE OF ENTIRE SOLUTIONS FOR DELAYED MONOSTABLE EPIDEMIC MODELS

Shi-Liang Wu et al.

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY (2016)

Add to Collection

Article Mathematics

A geometric approach in the study of traveling waves for some classes of non-monotone reaction-diffusion systems

Wenzhang Huang

JOURNAL OF DIFFERENTIAL EQUATIONS (2016)

Add to Collection

Article Mathematics, Applied

MODELING WOLBACHIA SPREAD IN MOSQUITOES THROUGH DELAY DIFFERENTIAL EQUATIONS

Bo Zheng et al.

SIAM JOURNAL ON APPLIED MATHEMATICS (2014)

Add to Collection

Article Multidisciplinary Sciences

Temperature-Dependent Pre-Bloodmeal Period and Temperature-Driven Asynchrony between Parasite Development and Mosquito Biting Rate Reduce Malaria Transmission Intensity

Krijn P. Paaijmans et al.

PLOS ONE (2013)

Add to Collection

Article Mathematics, Applied

Lyapunov functional techniques for the global stability analysis of a delayed SIRS epidemic model

Yoichi Enatsu et al.

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS (2012)

Add to Collection

Article Mathematics, Applied

Travelling wave solutions for an infection-age structured epidemic model with external supplies

Arnaud Ducrot et al.

NONLINEARITY (2011)

Add to Collection

Article Mathematics, Applied

A NONLOCAL AND TIME-DELAYED REACTION-DIFFUSION MODEL OF DENGUE TRANSMISSION

Wendi Wang et al.

SIAM JOURNAL ON APPLIED MATHEMATICS (2011)

Add to Collection

Review Medicine, General & Internal

Dengue

Scott B. Halstead

LANCET (2007)

Add to Collection

Article Biology

Traveling waves and spread rates for a West Nile virus model

M Lewis et al.

BULLETIN OF MATHEMATICAL BIOLOGY (2006)

Add to Collection

Article Biology

Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission

P van den Driessche et al.

MATHEMATICAL BIOSCIENCES (2002)

Add to Collection

© Peeref 2019-2024. All rights reserved.