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Stochastic Modelling of Lassa Fever Epidemic Disease

Haneen Hamam, Ali Raza, Manal M. Alqarni, Jan Awrejcewicz, Muhammad Rafiq, Nauman Ahmed, Emad E. Mahmoud, Witold Pawłowski and Muhammad Mohsin (muhammadmohsincheema@gmail.com)
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Haneen Hamam: Mathematics Department, Umm Al-Qura University, Makkah 24382, Saudi Arabia
Ali Raza: Department of Mathematics, Govt, Maulana Zafar Ali Khan Graduate College Wazirabad, Punjab Higher Education Department (PHED), Lahore 54000, Pakistan
Manal M. Alqarni: Department of Mathematics, College of Sciences, King Khalid University, Abha 61413, Saudi Arabia
Jan Awrejcewicz: Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 1/15 Stefanowskiego St., 90-924 Lodz, Poland
Muhammad Rafiq: Department of Mathematics, Faculty of Sciences and Technology, University of Central Punjab, Lahore 54000, Pakistan
Nauman Ahmed: Department of Mathematics and Statistics, The University of Lahore, Lahore 54000, Pakistan
Emad E. Mahmoud: Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia
Witold Pawłowski: Institute of Machine Tools and Production Engineering, Lodz University of Technology, 90-537 Lodz, Poland
Muhammad Mohsin: Department of Mathematics, Technische Universitat Chemnitz, 62, 09111 Chemnitz, Germany

Mathematics, 2022, vol. 10, issue 16, 1-17

Abstract: Evolutionary approaches have a critical role in different disciplines such as real-world problems, computer programming, machine learning, biological sciences, and many more. The design of the stochastic model is based on transition probabilities and non-parametric techniques. Positivity, boundedness, and equilibria are investigated in deterministic and stochastic senses. An essential tool, Euler–Maruyama, is studied for the solution of said model. Standard and nonstandard evolutionary approaches are presented for the stochastic model in terms of efficiency and low-cost approximations. The standard evolutionary procedures like stochastic Euler–Maruyama and stochastic Runge–Kutta fail to restore the essential features of biological problems. On the other hand, the proposed method is efficient, of meager cost, and adopts all the desired feasible properties. At the end of this paper the comparison section is presented to support efficient analysis.

Keywords: Lassa fever disease; stochastic epidemic model; stochastic evolutionary approaches; stability analysis (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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