On the delayed Ross-Macdonald model for malaria transmission.

Ross, Macdonald, and a Theory for the Dynamics and Control of Mosquito-Transmitted Pathogens

Ronald Ross and George Macdonald are credited with developing a mathematical model of mosquito-borne pathogen transmission. A systematic historical review suggests that several mathematicians and scientists contributed to development of the Ross-Macdonald model over a period of 70 years. Ross developed two different mathematical models, Macdonald a third, and various "Ross-Macdonald" mathematic...

A Periodic Ross-macdonald Model in a Patchy Environment.

Based on the classical Ross-Macdonald model, in this paper we propose a periodic malaria model to incorporate the effects of temporal and spatial heterogeneity on disease transmission. The temporal heterogeneity is described by assuming that some model coefficients are time-periodic, while the spatial heterogeneity is modeled by using a multi-patch structure and assuming that individuals travel...

Biodiversity Can Help Prevent Malaria Outbreaks in Tropical Forests

BACKGROUND Plasmodium vivax is a widely distributed, neglected parasite that can cause malaria and death in tropical areas. It is associated with an estimated 80-300 million cases of malaria worldwide. Brazilian tropical rain forests encompass host- and vector-rich communities, in which two hypothetical mechanisms could play a role in the dynamics of malaria transmission. The first mechanism is...

Climate change and malaria incidence in South Africa

Goal To understand the impact of temperature and precipitation changes on the distribution of three Anopheles species mainly responsible for the transmission of malaria in Africa, and so prepare a prediction of malaria incidence over the next decades. Every year, malaria infects around 200 million and kills over one million people, most of whom are children and almost 90% of whom live in sub-Sa...

A patched Ross-Macdonald malaria model with movement by hosts and vectors: implications for control