Mathematical models within the Ross–Macdonald framework increasingly play a role in our
understanding of vector-borne disease dynamics and as tools for assessing scenarios to …

A deterministic model for the transmission dynamics of dengue fever is formulated to study,
with a nonlinear recovery rate, the impact of available resources of the health system on the …

In this paper, a reaction–diffusion system is proposed to model the spatial spreading of West
Nile virus in vector mosquitoes and host birds in North America. Transmission dynamics are …

Abstract We consider a West Nile virus model with nonlocal diffusion and free boundaries, in
the form of a cooperative evolution system that can be viewed as a nonlocal version of the …

Vaccination and treatment are the most effective ways of controlling the transmission of most
infectious diseases. While vaccination helps susceptible individuals to build either a long …

A new stage-structured model for the population dynamics of the mosquito (a major vector
for numerous vector-borne diseases), which takes the form of a deterministic system of non …

Despite centuries of continuous efforts, mosquito-borne diseases (MBDs) remain enormous
health threat of human life worldwide. Lately, the USA government has approved an …

The purpose of this paper is to determine the precise asymptotic spreading speed of the
virus for a West Nile virus model with free boundary, introduced recently in Lin and Zhu (J …

We develop a mathematical model for transmission of West Nile virus (WNV) that
incorporates resident and migratory host avian populations and a mosquito vector …

We consider the long-time behaviour of a West Nile virus (WNv) model consisting of a
reaction–diffusion system with free boundaries. Such a model describes the spreading of …