Zika virus (ZIKV) infection, along with the concurrent circulation of other arboviruses,
presents a great public health challenge, reminding the utilization of mathematical modelling …

To explore the influence of spatial heterogeneity on mosquito-borne diseases, we formulate
a reaction–diffusion model with general incidence rates. The basic reproduction ratio R 0 for …

In this paper, a nonlinear fractional‐order chikungunya disease model that incorporates
asymptomatic infectious individuals is proposed and analyzed. The main interest of this work …

Mathematical epidemiology has a long history of origin and development. In particular,
mathematical modeling and analysis of infectious diseases has become a fundamental and …

This paper aims to study threshold dynamics of an age-space structured vector-borne
epidemic model with multiple transmission pathways. We develop a model in a bounded …

The problem of traveling wave solutions (TWS) for a nonlocal diffusive Zika transmission
model with bilinear incidence was studied. More specifically, the system admits a nontrivial …

Infectious diseases have been one of the major causes of human mortality, and
mathematical models have been playing significant roles in understanding the spread …

One of the key factors to control the spread of any infectious disease is the health care
facilities, especially the number of hospital beds. To assess the impact of number of hospital …

We consider a modified SIR model with a four-dimensional system of ordinary differential
equations to consider the influence of a limited isolation capacity on the final epidemic size …

Since the outbreak in Brazil, Zika has received the worldwide attention. Zika virus is mainly
transmitted via the bites of Aedes mosquito. Recently, experimental evidence demonstrates …