Malaria transmission model for different levels of acquired immunity and temperature-dependent parameters (vector)

Rev Saude Publica. 2000 Jun;34(3):223-31. doi: 10.1590/s0034-89102000000300003.

Abstract

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.

MeSH terms

  • Animals
  • Anopheles* / parasitology
  • Host-Parasite Interactions
  • Humans
  • Incidence
  • Insect Vectors* / parasitology
  • Malaria / epidemiology
  • Malaria / immunology
  • Malaria / transmission*
  • Models, Biological*
  • Plasmodium / physiology
  • Socioeconomic Factors
  • Temperature*