Dynamics of a dengue fever model with vertical transmission and time periodic in spatially heterogeneous environments

To reflect the impacts of vertical transmission in human and mosquitoes on the transmission of dengue fever, we propose an SIS-SI dengue fever model with time periodic in spatially heterogeneous environments. Firstly, we obtain the properties of the basic reproduction number R-0 for the dengue model by the eigenvalue problem and the spectral radius of next infection operator. Secondly, we investigate the existence and attractivity of the positive omega-periodic solution for the dengue fever model. We also investigate the stability of omega-periodic solution. The theoretical results indicate that vertical transmission can enhance the persistence of dengue virus in spatially heterogeneous environments with time periodic when R-0 > 1. We perform numerical simulations to illustrate theoretical results of dengue fever model and give some epidemiological explanations. Finally, we combine medical advice to seek some effective prevention and control measures for vertical transmission.

Automated summary

A study on the transmission model of dengue fever in spatially heterogeneous environments proposed theoretical insights on the basic characteristics of virus transmission and the stability of omega-periodic solutions. The results showed that vertical transmission can enhance the persistence of dengue virus in the environment, guiding the development of prevention and control measures.