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A one-locus model describing the evolutionary dynamics of resistance against insecticide in Anopheles mosquitoes
Suandi D.a, Wijaya K.P.b, Apri M.a, Sidarto K.A.a, Syafruddin D.c, Gotz T.b, Soewono E.a
a Industrial and Financial Mathematics Research Group, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Bandung, 40132, Indonesia
b Mathematical Institute, University of Koblenz, Koblenz, 56070, Germany
c Eijkman Institute for Molecular Biology, Jakarta, 10430, 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]© 2019 Elsevier Inc.Vector control is regarded an efficient approach for preventing and reducing the spread of malaria. For several decades, insecticides have been used to suppress the population of Anopheles mosquitoes throughout the globe. It turns out that continual usage of a single compounded insecticide has massively contributed to the rise of resistant mosquitoes. Information on the evolution of insecticide resistance is considered an essential aspect in the control of Anopheles mosquitoes. In this study, a mathematical model to describe the dynamics of Anopheles mosquitoes is constructed, highlighting genetic classification based on their resistance status with respect to insecticides. Focusing on a one-locus case related to a specific insecticide class, the model is constructed according to a scenario in which the intermediate form of resistance called heterozygous resistance can be generated from random matings between susceptible and resistant mosquitoes, therefore carrying both genes. The model is governed by a three-dimensional system of differential equations that describes the interaction between homozygous wild, heterozygous, and resistant subpopulations, with three corresponding fitness levels related to their intrinsic growth rates. Criteria for the existence and stability of all existing equilibria are obtained. It is generally concluded from the model that the fitness levels heavily determine to which steady state the model solution converges. Numerical simulations indicate that long-term implementation of high doses of insecticide can increase the proportion of resistant mosquitoes significantly. Accordingly, understanding the fitness levels is very important for selecting proper intervention strategies as well as for predicting the long-term effects of the implementation of certain 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]Center manifold,Evolutionary dynamics,Existence and stability,Genetic classification,Insecticide resistance,Intervention strategy,Stability analysis,Three dimensional systems[/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]Center manifold analysis,Existence–stability analysis,Insecticide resistance,Sensitivity analysis[/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]Part of the research is funded by the Ministry of Research, Technology and Higher Education of the Republic of Indonesia (RistekDikti) Grant 2018. The first author acknowledges the financial support from World Class University (WCU)–ITB Grant 2017.[/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/10.1016/j.amc.2019.03.031[/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]