A Detailed Study on a Tumor Model With Delayed Growth of Pro-Tumor Macrophages
| dc.contributor.author | Dehingia, K. | |
| dc.contributor.author | Hosseini, K. | |
| dc.contributor.author | Salahshour, S. | |
| dc.contributor.author | Baleanu, D. | |
| dc.date.accessioned | 2024-02-09T11:40:13Z | |
| dc.date.accessioned | 2025-09-18T16:08:18Z | |
| dc.date.available | 2024-02-09T11:40:13Z | |
| dc.date.available | 2025-09-18T16:08:18Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | This paper investigates a tumor-macrophages interaction model with a discrete-time delay in the growth of pro-tumor M2 macrophages. The steady-state analysis of the governing model is performed around the tumor dominant steady-state and the interior steady-state. It is found that the tumor dominant steady-state is locally asymptotically stable under certain conditions, and the stability of the interior steady-state is affected by the discrete-time delay; as a result, the unstable system experiences a Hopf bifurcation and gets stabilized. Furthermore, the transversality conditions for the existence of Hopf bifurcations are derived. Several graphical representations in two and three-dimensional postures are given to examine the validity of the results provided in the current study. © 2022, The Author(s), under exclusive licence to Springer Nature India Private Limited. | en_US |
| dc.identifier.citation | Dehingia, Kaushik...et.al. (2022). "A Detailed Study on a Tumor Model with Delayed Growth of Pro-Tumor Macrophages", International Journal of Applied and Computational Mathematics, Vol.8, No.5 | en_US |
| dc.identifier.doi | 10.1007/s40819-022-01433-y | |
| dc.identifier.issn | 2349-5103 | |
| dc.identifier.issn | 2199-5796 | |
| dc.identifier.scopus | 2-s2.0-85137201470 | |
| dc.identifier.uri | https://doi.org/10.1007/s40819-022-01433-y | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/15021 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | International Journal of Applied and Computational Mathematics | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Discrete-Time Delay | en_US |
| dc.subject | Hopf Bifurcation | en_US |
| dc.subject | Numerical Resolution | en_US |
| dc.subject | Steady-State Analysis | en_US |
| dc.subject | Tumor-Macrophages Interaction | en_US |
| dc.title | A Detailed Study on a Tumor Model With Delayed Growth of Pro-Tumor Macrophages | en_US |
| dc.title | A Detailed Study on a Tumor Model with Delayed Growth of Pro-Tumor Macrophages | tr_TR |
| dc.type | Article | en_US |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | Dehingia K., Department of Mathematics, Sonari College, Assam, Sonari, 785690, India; Hosseini K., Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran, Department of Mathematics, Near East University TRNC, Mersin 10, Turkey; Salahshour S., Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey; Baleanu D., Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, Ankara, 06530, Turkey, Institute of Space Sciences, Magurele-Bucharest, Romania, Department of Medical Research, China Medical University, Taichung, 40447, Taiwan | en_US |
| gdc.description.issue | 5 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.volume | 8 | en_US |
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| gdc.oaire.keywords | numerical resolution | |
| gdc.oaire.keywords | discrete-time delay | |
| gdc.oaire.keywords | Pathology, pathophysiology | |
| gdc.oaire.keywords | steady-state analysis | |
| gdc.oaire.keywords | Hopf bifurcation | |
| gdc.oaire.keywords | tumor-macrophages interaction | |
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| gdc.oaire.sciencefields | 0301 basic medicine | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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