Dynamical and nonstandard computational analysis of heroin epidemic model
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...
| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-03-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379722000511 |
| _version_ | 1818986987906924544 |
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| author | Ali Raza Yu-Ming Chu Mohd Yazid Bajuri Ali Ahmadian Nauman Ahmed Muhammad Rafiq Soheil Salahshour |
| author_facet | Ali Raza Yu-Ming Chu Mohd Yazid Bajuri Ali Ahmadian Nauman Ahmed Muhammad Rafiq Soheil Salahshour |
| author_sort | Ali Raza |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-20T18:59:32Z |
| format | Article |
| id | doaj.art-c55ffd51620649eeabeb566d29646d34 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-12-20T18:59:32Z |
| publishDate | 2022-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-c55ffd51620649eeabeb566d29646d342022-12-21T19:29:26ZengElsevierResults in Physics2211-37972022-03-0134105245Dynamical and nonstandard computational analysis of heroin epidemic modelAli Raza0Yu-Ming Chu1Mohd Yazid Bajuri2Ali Ahmadian3Nauman Ahmed4Muhammad Rafiq5Soheil Salahshour6Department of Mathematics, Govt. Maulana Zafar Ali Khan Graduate College Wazirabad, Punjab Higher Education Department (PHED), Lahore 54000, Pakistan; Department of Mathematics, National College of Business Administration and Economics Lahore, PakistanDepartment of Mathematics, Huzhou University, Huzhou 313000, China; Corresponding authors.Department of Orthopaedics and Traumatology, Faculty of Medicine, Universiti Kebangsaan Malaysia(UKM), Kuala Lumpur, MalaysiaInstitute of IR 4.0, The National University of Malaysia, 43600 UKM, Bangi, Selangor, Malaysia; Department of Mathematics, Near East University, Nicosia, TRNC, Mersin 10, TurkeyDepartment of Mathematics and Statistics, The University of Lahore, PakistanDepartment of Mathematics, Faculty of Sciences, University of Central Punjab, Lahore 54600, PakistanFaculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey; Corresponding authors.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.http://www.sciencedirect.com/science/article/pii/S2211379722000511Deterministic modelNonlinear differential equationsComputational methodsStability analysisSimulations |
| spellingShingle | Ali Raza Yu-Ming Chu Mohd Yazid Bajuri Ali Ahmadian Nauman Ahmed Muhammad Rafiq Soheil Salahshour Dynamical and nonstandard computational analysis of heroin epidemic model Results in Physics Deterministic model Nonlinear differential equations Computational methods Stability analysis Simulations |
| title | Dynamical and nonstandard computational analysis of heroin epidemic model |
| title_full | Dynamical and nonstandard computational analysis of heroin epidemic model |
| title_fullStr | Dynamical and nonstandard computational analysis of heroin epidemic model |
| title_full_unstemmed | Dynamical and nonstandard computational analysis of heroin epidemic model |
| title_short | Dynamical and nonstandard computational analysis of heroin epidemic model |
| title_sort | dynamical and nonstandard computational analysis of heroin epidemic model |
| topic | Deterministic model Nonlinear differential equations Computational methods Stability analysis Simulations |
| url | http://www.sciencedirect.com/science/article/pii/S2211379722000511 |
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