Numerical control measures of stochastic malaria epidemic model
Nonlinear stochastic modeling has significant role in the all discipline of sciences. The essential control measuring features of modeling are positivity, boundedness and dynamical consistency. Unfortunately, the existing stochastic methods in literature do not restore aforesaid control measuring fe...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Tech Science Press
2020
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| Online Access: | http://psasir.upm.edu.my/id/eprint/86930/1/Numerical%20control%20measures%20of%20stochastic%20malaria%20epidemic%20model.pdf |
| _version_ | 1825952289380106240 |
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| author | Muhammad Rafiq Ahmadian, Ali Raza, Ali Baleanu, Dumitru Ahsan, Muhammad Sarwar Abdul Sathar, Mohammad Hasan |
| author_facet | Muhammad Rafiq Ahmadian, Ali Raza, Ali Baleanu, Dumitru Ahsan, Muhammad Sarwar Abdul Sathar, Mohammad Hasan |
| author_sort | Muhammad Rafiq |
| collection | UPM |
| description | Nonlinear stochastic modeling has significant role in the all discipline of sciences. The essential control measuring features of modeling are positivity, boundedness and dynamical consistency. Unfortunately, the existing stochastic methods in literature do not restore aforesaid control measuring features, particularly for the stochastic models. Therefore, these gaps should be occupied up in literature, by constructing the control measuring features numerical method. We shall present a numerical control measures for stochastic malaria model in this manuscript. The results of the stochastic model are discussed in contrast of its equivalent deterministic model. If the basic reproduction number is less than one, then the disease will be in control while its value greater than one shows the perseverance of disease in the population. The standard numerical procedures are conditionally convergent. The propose method is competitive and preserve all the control measuring features unconditionally. It has also been concluded that the prevalence of malaria in the human population may be controlled by reducing the contact rate between mosquitoes and humans. The awareness programs run by world health organization in developing countries may overcome the spread of malaria disease. |
| first_indexed | 2024-03-06T10:42:42Z |
| format | Article |
| id | upm.eprints-86930 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T10:42:42Z |
| publishDate | 2020 |
| publisher | Tech Science Press |
| record_format | dspace |
| spelling | upm.eprints-869302022-01-05T08:41:02Z http://psasir.upm.edu.my/id/eprint/86930/ Numerical control measures of stochastic malaria epidemic model Muhammad Rafiq Ahmadian, Ali Raza, Ali Baleanu, Dumitru Ahsan, Muhammad Sarwar Abdul Sathar, Mohammad Hasan Nonlinear stochastic modeling has significant role in the all discipline of sciences. The essential control measuring features of modeling are positivity, boundedness and dynamical consistency. Unfortunately, the existing stochastic methods in literature do not restore aforesaid control measuring features, particularly for the stochastic models. Therefore, these gaps should be occupied up in literature, by constructing the control measuring features numerical method. We shall present a numerical control measures for stochastic malaria model in this manuscript. The results of the stochastic model are discussed in contrast of its equivalent deterministic model. If the basic reproduction number is less than one, then the disease will be in control while its value greater than one shows the perseverance of disease in the population. The standard numerical procedures are conditionally convergent. The propose method is competitive and preserve all the control measuring features unconditionally. It has also been concluded that the prevalence of malaria in the human population may be controlled by reducing the contact rate between mosquitoes and humans. The awareness programs run by world health organization in developing countries may overcome the spread of malaria disease. Tech Science Press 2020-07-23 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/86930/1/Numerical%20control%20measures%20of%20stochastic%20malaria%20epidemic%20model.pdf Muhammad Rafiq and Ahmadian, Ali and Raza, Ali and Baleanu, Dumitru and Ahsan, Muhammad Sarwar and Abdul Sathar, Mohammad Hasan (2020) Numerical control measures of stochastic malaria epidemic model. Computers Materials & Continua, 65 (1). 33 - 51. ISSN 1546-2218; ESSN:1546-2226 https://www.techscience.com/cmc/v65n1/39552 10.32604/cmc.2020.010893 |
| spellingShingle | Muhammad Rafiq Ahmadian, Ali Raza, Ali Baleanu, Dumitru Ahsan, Muhammad Sarwar Abdul Sathar, Mohammad Hasan Numerical control measures of stochastic malaria epidemic model |
| title | Numerical control measures of stochastic malaria epidemic model |
| title_full | Numerical control measures of stochastic malaria epidemic model |
| title_fullStr | Numerical control measures of stochastic malaria epidemic model |
| title_full_unstemmed | Numerical control measures of stochastic malaria epidemic model |
| title_short | Numerical control measures of stochastic malaria epidemic model |
| title_sort | numerical control measures of stochastic malaria epidemic model |
| url | http://psasir.upm.edu.my/id/eprint/86930/1/Numerical%20control%20measures%20of%20stochastic%20malaria%20epidemic%20model.pdf |
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