Abstract: Malaria is by far the world-s most persistent tropical parasitic disease and is endemic to tropical areas where the climatic and weather conditions allow continuous breeding of the mosquitoes that spread malaria. A mathematical model for the transmission of malaria with prophylaxis prevention is analyzed. The stability analysis of the equilibria is presented with the aim of finding threshold conditions under which malaria clears or persists in the human population. Our results suggest that eradication of mosquitoes and prophylaxis prevention can significantly reduce the malaria burden on the human population.
Abstract: The functional response of an infective is the relationship
between an infected individual-s infection rate and the abundance
of the number of susceptibles that one can potentially be infected.
In this paper, we consider defensive attitudes for HIV prevention
(primary prevention) while at the same time emphasizing on offensive
attitudes that reduce infection for those infected (secondary prevention).
We look at how defenses can protect an uninfected individual
in the case where high risk groups such as commercial sex workers
and those who deliberately go out to look for partners. We propose
an infection cycle that begins with a search, then an encounter,
a proposal and contact. The infection cycle illustrates the various
steps an infected individual goes through to successfully infect a
susceptible. For heterogeneous transmission of HIV, there will be no
infection unless there is contact. The ability to avoid an encounter,
detection, proposal and contact constitute defense.