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Preliminary Results: Simple Model of Evolutionary Dynamic on Insecticide Resistance in Mosquitoes
Suandi D.a, Nugraha E.S.a, Sidarto K.A.a, Soewono E.a
a Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Indonesia
[vc_row][vc_column][vc_row_inner][vc_column_inner][vc_separator css=”.vc_custom_1624529070653{padding-top: 30px !important;padding-bottom: 30px !important;}”][/vc_column_inner][/vc_row_inner][vc_row_inner layout=”boxed”][vc_column_inner width=”3/4″ css=”.vc_custom_1624695412187{border-right-width: 1px !important;border-right-color: #dddddd !important;border-right-style: solid !important;border-radius: 1px !important;}”][vc_empty_space][megatron_heading title=”Abstract” size=”size-sm” text_align=”text-left”][vc_column_text]© 2018 Published under licence by IOP Publishing Ltd.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.[/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”Author keywords” size=”size-sm” text_align=”text-left”][vc_column_text]Analysis and simulation,Critical issues,Evolutionary dynamics,Genetic information,Insecticide resistance,Mosquito populations,Nonlinear differential equation systems,Resistance level[/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”Indexed keywords” size=”size-sm” text_align=”text-left”][vc_column_text][/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”Funding details” size=”size-sm” text_align=”text-left”][vc_column_text]The research was funded by the Ministry of Research, Technology and Higher Education of the Republic of Indonesia through a grant scheme doctoral dissertation budget year 2018.[/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”DOI” size=”size-sm” text_align=”text-left”][vc_column_text]https://doi.org/10.1088/1742-6596/1097/1/012077[/vc_column_text][/vc_column_inner][vc_column_inner width=”1/4″][vc_column_text]Widget Plumx[/vc_column_text][/vc_column_inner][/vc_row_inner][/vc_column][/vc_row][vc_row][vc_column][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][/vc_column][/vc_row]