Existence Theory and Novel Iterative Method for Dynamical System of Infectious Diseases
This manuscript is devoted to investigate qualitative theory of existence and uniqueness of the solution to a dynamical system of an infectious disease known as measles. For the respective theory, we utilize fixed point theory to construct sufficient conditions for existence and uniqueness of the so...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2020/8709393 |
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| _version_ | 1832550398884315136 |
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| author | Gauhar Ali Ghazala Nazir Kamal Shah Yongjin Li |
| author_facet | Gauhar Ali Ghazala Nazir Kamal Shah Yongjin Li |
| author_sort | Gauhar Ali |
| collection | DOAJ |
| description | This manuscript is devoted to investigate qualitative theory of existence and uniqueness of the solution to a dynamical system of an infectious disease known as measles. For the respective theory, we utilize fixed point theory to construct sufficient conditions for existence and uniqueness of the solution. Some results corresponding to Hyers–Ulam stability are also investigated. Furthermore, some semianalytical results are computed for the considered system by using integral transform due to the Laplace and decomposition technique of Adomian. The obtained results are presented by graphs also. |
| format | Article |
| id | doaj-art-12ba9d0bffff4adf9bb3b855273850fa |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-12ba9d0bffff4adf9bb3b855273850fa2025-02-03T06:06:44ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2020-01-01202010.1155/2020/87093938709393Existence Theory and Novel Iterative Method for Dynamical System of Infectious DiseasesGauhar Ali0Ghazala Nazir1Kamal Shah2Yongjin Li3Department of Mathematics, University of Malakand, Chakdara, Dir (Lower), Khyber Pakhtunkhwa, PakistanDepartment of Mathematics, University of Malakand, Chakdara, Dir (Lower), Khyber Pakhtunkhwa, PakistanDepartment of Mathematics, University of Malakand, Chakdara, Dir (Lower), Khyber Pakhtunkhwa, PakistanDepartment of Mathematics, Sun Yat-sen University, Gangzhou, ChinaThis manuscript is devoted to investigate qualitative theory of existence and uniqueness of the solution to a dynamical system of an infectious disease known as measles. For the respective theory, we utilize fixed point theory to construct sufficient conditions for existence and uniqueness of the solution. Some results corresponding to Hyers–Ulam stability are also investigated. Furthermore, some semianalytical results are computed for the considered system by using integral transform due to the Laplace and decomposition technique of Adomian. The obtained results are presented by graphs also.http://dx.doi.org/10.1155/2020/8709393 |
| spellingShingle | Gauhar Ali Ghazala Nazir Kamal Shah Yongjin Li Existence Theory and Novel Iterative Method for Dynamical System of Infectious Diseases Discrete Dynamics in Nature and Society |
| title | Existence Theory and Novel Iterative Method for Dynamical System of Infectious Diseases |
| title_full | Existence Theory and Novel Iterative Method for Dynamical System of Infectious Diseases |
| title_fullStr | Existence Theory and Novel Iterative Method for Dynamical System of Infectious Diseases |
| title_full_unstemmed | Existence Theory and Novel Iterative Method for Dynamical System of Infectious Diseases |
| title_short | Existence Theory and Novel Iterative Method for Dynamical System of Infectious Diseases |
| title_sort | existence theory and novel iterative method for dynamical system of infectious diseases |
| url | http://dx.doi.org/10.1155/2020/8709393 |
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