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All Journal Journal of Tropical Life Science : International Journal of Theoretical, Experimental, and Applied Life Sciences Journal of Information System SELAPARANG: Jurnal Pengabdian Masyarakat Berkemajuan Jurnal Tecnoscienza
Ikawati, Deasy Sandhya Elya
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A Dynamical Analysis on a Tumour Virotherapy Model with Standard Incident Rate Ikawati, Deasy Sandhya Elya; Kusumawinahyu, Wuryansari Muharini; Trisilowati, Trisilowati
Journal of Tropical Life Science Vol 7, No 1 (2017)
Publisher : Journal of Tropical Life Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.11594/jtls.07.01.03

Abstract

This paper discusses a dynamical analysis on a model that governs the growth of tumour cell under a therapy by using oncolytic viruses, on the standard incident rate. The model is a modification of the similar one by replacing the bilinear incident rate with the standard one. The conducted dynamical analysis consists of the determination of equilibrium points and their existence conditions, followed by local as well as global stability analysis of the equilibrium points. The analytical result shows that there are two equilibrium points, namely uninfected and the endemic point, which needs a condition to exist. Stability analysis shows that there is a dimensionless basic reproduction number that marks the existence as well as the stability of equilibrium points. When basic reproduction number is less than one, there is only the uninfected equilibrium, which is global asymptotically stable. On the other hands, both of equilibrium points exist when the basic reproduction number is more than one, but the uninfected point is not stable anymore, while the endemic one is local asymptotically stable under a condition. Some numerical simulations are performed to illustrate the analytical result. Numerically, it can also be demonstrated that there is a set of parameters which indicates that tumour can be fully removed.  
Co-Authors Amanda, Sely Ruli Ashafidz Fauzan Dianta, Ashafidz Fauzan Dian Hanifudin Subhi Dien, Habibie Ed Dimas Wahyu Wibowo Eka Larasati Amalia Endah Septa Sintiya Irsyad Arif Mashudi Izzati, Afifah Nurul Luqman Affandi Pratama, Adevian Fairuz Riskitasari, Septyana Rizdania, Rizdania Septian Enggar Sukmana Titis Agunging Tyas, Titis Agunging Trisilowati Trisilowati, Trisilowati Ulfa, Farida Wuryasari Muharini Kusumawinahyu