Effects of travel frequency on the persistence of mosquito-borne diseases (Q2026575)

In this paper, the authors have developed a multipatch model to study the impact of travel frequency and human biting rate on the spatial spread of mosquito-borne diseases. The basic reproduction number \(\mathcal{R}_0\) is defined. It is shown that the disease-free equilibrium is globally asymptotically stable if \(\mathcal{R}_0\leq 1\), and there is a unique endemic equilibrium that is globally asymptotically stable if \(\mathcal{R}_0>1\). For the single patch model, the authors have gave some more detailed study. Numerical simulations suggest that the greater the difference in travel frequency, the larger the underestimate of the transmission potential.