Abstract:
The information on insecticide resistance in mosquitoes as diseases vectors is a critical
issue for the success of mosquito population control. This is because the resistance can reduce
the effectiveness of insecticides. Based on the resistance level to insecticides, the mosquitoes are
divided into susceptible and resistant groups. Genetically, the existence of susceptible and
resistant mosquitoes are determined by the frequency of alleles. In this paper, a dynamical model
is constructed based on the genetic information to observe the effect of selection by exposure to
insecticides. The model is a two-dimensional nonlinear differential equation system. In the
analysis of this mathematical model, we consider two important factors in the evolution of
resistance, i.e., the fitness value and the effectiveness of the insecticide. The condition of
coexistence and stability are obtained here. The simulations are performed to illustrate the effect
of insecticide usage continuously on mosquito resistance. Based on analysis and simulation, the
fitness value of intermediate mosquitoes plays an essential role in maintaining the coexistence
of the mosquito population. Furthermore, the resistant mosquitoes increases significantly
following the pattern of increasing the dose of exposure to insecticides.
Description:
Malakah dipresentasikan pada 5th International Conference on Research, Implementation, & Education of Mathematics and Sciences 2018. p. 1-8.
