Analysis of a mosquito life cycle model

The gonotrophic cycle of mosquitoes conditions the frequency mosquito-human contacts. knowledge this important phenomenon in mosquito life is a fundamental element epidemiological analysis communicable disease such as mosquito-borne diseases.In work, we analyze deterministic model complete which takes into account principal phases female mosquitoes' cycle, and Sterile Insect technique combined with use insecticide control measures to fight proliferation mosquitoes. We compute corresponding reproductive number N ∗ prove global asymptotic stability trivial equilibrium. that admits two non-trivial equilibria whenever N^{∗} greater than another threshold, N_c, total sterile depends on. Numerical simulations, using parameters Aedes species, are carried out illustrate our analytical results permit show strategy consists combining insect adulticides, when it well done, effectively combats