A bio-mathematical approach to control the Anopheles mosquito using sterile males technology

Author:

Al-Solami Habeeb M.1,Alhebshi Alawiah M. S.1,Abdo H.2,Mahmuod S. R.3,Alwabli Afaf S.4,Alkenani Naser1

Affiliation:

1. Department of Biological Sciences, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia

2. Department of Mathematics, Computer Science Branch, Aswan University, Aswan, Egypt

3. GRC Department, Applied College, King Abdulaziz University, Jeddah, Saudi Arabia

4. Department of Biological Sciences, Science and Arts College, Rabigh Campus, King Abdulaziz University, Jeddah, Saudi Arabia

Abstract

Initiative for this study is taken to solve the mathematical model which is base-forming with population dynamics of the Anopheles mosquito using an advanced computational intelligence scheme named as genetic algorithm (GA), artificial neural network (ANN). This ANN is a famous global search method, active set (AS) scheme known as a quick local refinement, i.e. ANN-GA-AS. An error-based fitness function is optimized which is made by using the sense of the differential system and boundary conditions for solving the Anopheles mosquito control model. The ability of the stochastic ANN-GA-AS approach to solve the population dynamics of the Anopheles mosquito is examined to check the exactness, efficiency, precision, and consistency of the scheme. The numerical outcomes of the Anopheles mosquito control model through the ANN-GA-AS approach are compared with the reference Adams numerical results to show the significance of the designed scheme. Moreover, statistical considerations using the “semi-interquartile range”, “Theil’s inequality coefficient”, and “mean absolute deviation” have been applied to validate the precision and accuracy of the obtained results.

Funder

Deanship of Scientific Research (DSR) at King Abdulaziz University, Jeddah

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Modeling and Simulation

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