Periodicity computation of generalized mathematical biology problems involving delay differential equations
In this paper, we consider a low initial population model. Our aim is to study the periodicity computation of this model by using neutral differential equations, which are recognized in various studies including biology. We generalize the neutral Rayleigh equation for the third-order by exploiting t...
| المؤلفون الرئيسيون: | , , |
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| التنسيق: | مقال |
| منشور في: |
Elsevier
2017
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| الموضوعات: |
| _version_ | 1825721244563013632 |
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| author | Jasim Mohammed, M. Ibrahim, R.W. Ahmad, M.Z. |
| author_facet | Jasim Mohammed, M. Ibrahim, R.W. Ahmad, M.Z. |
| author_sort | Jasim Mohammed, M. |
| collection | UM |
| description | In this paper, we consider a low initial population model. Our aim is to study the periodicity computation of this model by using neutral differential equations, which are recognized in various studies including biology. We generalize the neutral Rayleigh equation for the third-order by exploiting the model of fractional calculus, in particular the Riemann–Liouville differential operator. We establish the existence and uniqueness of a periodic computational outcome. The technique depends on the continuation theorem of the coincidence degree theory. Besides, an example is presented to demonstrate the finding. |
| first_indexed | 2024-03-06T05:47:26Z |
| format | Article |
| id | um.eprints-19155 |
| institution | Universiti Malaya |
| last_indexed | 2024-03-06T05:47:26Z |
| publishDate | 2017 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | um.eprints-191552018-09-06T04:10:13Z http://eprints.um.edu.my/19155/ Periodicity computation of generalized mathematical biology problems involving delay differential equations Jasim Mohammed, M. Ibrahim, R.W. Ahmad, M.Z. Q Science (General) QA Mathematics In this paper, we consider a low initial population model. Our aim is to study the periodicity computation of this model by using neutral differential equations, which are recognized in various studies including biology. We generalize the neutral Rayleigh equation for the third-order by exploiting the model of fractional calculus, in particular the Riemann–Liouville differential operator. We establish the existence and uniqueness of a periodic computational outcome. The technique depends on the continuation theorem of the coincidence degree theory. Besides, an example is presented to demonstrate the finding. Elsevier 2017 Article PeerReviewed Jasim Mohammed, M. and Ibrahim, R.W. and Ahmad, M.Z. (2017) Periodicity computation of generalized mathematical biology problems involving delay differential equations. Saudi Journal of Biological Sciences, 24 (3). pp. 737-740. ISSN 1319-562X, DOI https://doi.org/10.1016/j.sjbs.2017.01.050 <https://doi.org/10.1016/j.sjbs.2017.01.050>. http://dx.doi.org/10.1016/j.sjbs.2017.01.050 doi:10.1016/j.sjbs.2017.01.050 |
| spellingShingle | Q Science (General) QA Mathematics Jasim Mohammed, M. Ibrahim, R.W. Ahmad, M.Z. Periodicity computation of generalized mathematical biology problems involving delay differential equations |
| title | Periodicity computation of generalized mathematical biology problems involving delay differential equations |
| title_full | Periodicity computation of generalized mathematical biology problems involving delay differential equations |
| title_fullStr | Periodicity computation of generalized mathematical biology problems involving delay differential equations |
| title_full_unstemmed | Periodicity computation of generalized mathematical biology problems involving delay differential equations |
| title_short | Periodicity computation of generalized mathematical biology problems involving delay differential equations |
| title_sort | periodicity computation of generalized mathematical biology problems involving delay differential equations |
| topic | Q Science (General) QA Mathematics |
| work_keys_str_mv | AT jasimmohammedm periodicitycomputationofgeneralizedmathematicalbiologyproblemsinvolvingdelaydifferentialequations AT ibrahimrw periodicitycomputationofgeneralizedmathematicalbiologyproblemsinvolvingdelaydifferentialequations AT ahmadmz periodicitycomputationofgeneralizedmathematicalbiologyproblemsinvolvingdelaydifferentialequations |