Modeling the Impact of Temperature on Fractional Order Dengue Model With Vertical Transmission
| dc.contributor.author | Defterli, Ozlem | |
| dc.date.accessioned | 2021-02-17T07:46:22Z | |
| dc.date.accessioned | 2025-09-18T13:26:59Z | |
| dc.date.available | 2021-02-17T07:46:22Z | |
| dc.date.available | 2025-09-18T13:26:59Z | |
| dc.date.issued | 2020 | |
| dc.description.abstract | A dengue epidemic model with fractional order derivative is formulated to an-alyze the effect of temperature on the spread of the vector-host transmitted dengue disease. The model is composed of a system of fractional order differ-ential equations formulated within Caputo fractional operator. The stability of the equilibrium points of the considered dengue model is studied. The cor-responding basic reproduction number R alpha 0 is derived and it is proved that if R alpha 0 < 1, the disease-free equilibrium (DFE) is locally asymptotically stable. L1 method is applied to solve the dengue model numerically. Finally, numerical simulations are also presented to illustrate the analytical results showing the influence of the temperature on the dynamics of the vector-host interaction in dengue epidemics. | en_US |
| dc.description.sponsorship | Scientific and Technological Research Council of Turkey (TUBITAK) [TBAG117F473]; COST (European Co- operation in Science and Technology) [CA16227, CA15225] | en_US |
| dc.description.sponsorship | TBAG117F473 This research is supported by the Scientific and Technological Research Council of Turkey (TUBITAK) under the Grant No. TBAG117F473 and also the COST Actions CA16227, CA15225 as networks supported by COST (European Co- operation in Science and Technology) . | en_US |
| dc.identifier.citation | Defterli, Özlem (2020). "International Journal of Optimization and Control: Theories and Applications", International Journal of Optimization and Control: Theories and Applications, Vol. 10, No. 1, pp. 85-93. | en_US |
| dc.identifier.doi | 10.11121/ijocta.01.2020.00862 | |
| dc.identifier.issn | 2146-0957 | |
| dc.identifier.issn | 2146-5703 | |
| dc.identifier.scopus | 2-s2.0-85088553280 | |
| dc.identifier.uri | https://doi.org/10.11121/ijocta.01.2020.00862 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12779 | |
| dc.language.iso | en | en_US |
| dc.publisher | Ramazan Yaman | en_US |
| dc.relation.ispartof | An International Journal of Optimization and Control: Theories & Applications (IJOCTA) | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fractional Operators | en_US |
| dc.subject | Stability Of The Equilibria | en_US |
| dc.subject | Dengue Epidemics | en_US |
| dc.subject | Temperature Effect | en_US |
| dc.title | Modeling the Impact of Temperature on Fractional Order Dengue Model With Vertical Transmission | en_US |
| dc.title | Modeling the impact of temperature on fractional order dengue model with vertical transmission | tr_TR |
| dc.type | Article | en_US |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Defterli, Ozlem] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06790 Ankara, Turkey | en_US |
| gdc.description.endpage | 93 | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 85 | en_US |
| gdc.description.volume | 10 | en_US |
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