Dynamical and nonstandard computational analysis of heroin epidemic model

Results in Physics

Ali Ahmadian¹  Yu-Ming Chu²  Soheil Salahshour³  Ali Raza⁴  Mohd Yazid Bajuri⁵  Nauman Ahmed⁶  Muhammad Rafiq⁷ 

[1] Corresponding authors.;Department of Mathematics, National College of Business Administration and Economics Lahore, Pakistan;Department of Mathematics, Near East University, Nicosia, TRNC, Mersin 10, Turkey;Department of Mathematics, Govt. Maulana Zafar Ali Khan Graduate College Wazirabad, Punjab Higher Education Department (PHED), Lahore 54000, Pakistan;Department of Mathematics, Huzhou University, Huzhou 313000, China;Department of Orthopaedics and Traumatology, Faculty of Medicine, Universiti Kebangsaan Malaysia(UKM), Kuala Lumpur, Malaysia;Institute of IR 4.0, The National University of Malaysia, 43600 UKM, Bangi, Selangor, Malaysia;

关键词: Deterministic model;    Nonlinear differential equations;    Computational methods;    Stability analysis;    Simulations;   

DOI  :  

来源: DOAJ

【 摘 要 】

Numerical modelling of real-world problems has a significant role in different disciplines like biology, physics, chemistry, economics, and many more. The numerical results are the authentication of the results of the dynamical analysis. We studied the heroin epidemic model's dynamics based on the law of mass action. The essential features of the model like positivity, boundedness, equilibria, and reproduction number are presented. Some standard and nonstandard computational methods like Euler, Runge-Kutta, and Nonstandard finite difference (NSFD) are given for the said model. The nonstandard finite difference method was developed to restore the fundamental properties of biological problems. Also, the proposed numerical model is consistent with the behaviour of the continuous model. To that end, simulations for the comparison of computational methods are presented.

【 授权许可】

Unknown