Malaria transmission model for different levels of acquired immunity and temperature-dependent parameters (vector).
OBJECTIVE
Describe the overall transmission of malaria through a compartmental model, considering the human host and mosquito vector.


METHODS
A mathematical model was developed based on the following parameters: human host immunity, assuming the existence of acquired immunity and immunological memory, which boosts the protective response upon reinfection; mosquito vector, taking into account that the average period of development from egg to adult mosquito and the extrinsic incubation period of parasites (transformation of infected but non-infectious mosquitoes into infectious mosquitoes) are dependent on the ambient temperature.


RESULTS
The steady state equilibrium values obtained with the model allowed the calculation of the basic reproduction ratio in terms of the model's parameters.


CONCLUSIONS
The model allowed the calculation of the basic reproduction ratio, one of the most important epidemiological variables.
Departamento de Matemática Aplicada do Instituto de Matemática, Estatística e Ciência da Computação, Universidade Estadual de Campinas. Campinas, SP, Brasil. hyunyang@ime.unicamp.br
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Yang
D000818:Animals; D000852:Anopheles / Q000469:parasitology; D006790:Host-Parasite Interactions; D006801:Humans; D015994:Incidence; D007303:Insect Vectors / Q000469:parasitology; D008288:Malaria / Q000453:epidemiology / Q000276:immunology / Q000635:transmission*; D008954:Models, Biological; D010961:Plasmodium / Q000502:physiology; D012959:Socioeconomic Factors; D013696:Temperature