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All Journal Journal of Tropical Life Science : International Journal of Theoretical, Experimental, and Applied Life Sciences MATEMATIKA The Journal of Experimental Life Sciences (JELS) Jurnal Mahasiswa Matematika Journal of Innovation and Applied Technology Natural B Journal of Mathematical and Fundamental Sciences JTAM (Jurnal Teori dan Aplikasi Matematika) Limits: Journal of Mathematics and Its Applications Jambura Journal of Biomathematics (JJBM) Jurnal Matematika Integratif
Wuryasari Muharini Kusumawinahyu
Jurusan Matematika, Fakultas MIPA, Universitas Brawijaya
Agriculture, Biological Sciences & Forestry Astronomy Biochemistry, Genetics & Molecular Biology Chemistry Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Earth & Planetary Sciences Economics, Econometrics & Finance Electrical & Electronics Engineering Engineering Environmental Science Immunology & microbiology Mathematics Mechanical Engineering Medicine & Pharmacology Neuroscience Physics Transportation

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Journal : Natural B

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The Effect of Smoking Behavior in the Human Population Growth of Lung Cancer Patients Lu’luul Wardah; Trisilowati Trisilowati; Wuryansari Muharini Kusumawinahyu
Natural B, Journal of Health and Environmental Sciences Vol 4, No 2 (2017)
Publisher : Natural B, Journal of Health and Environmental Sciences

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (471.679 KB) | DOI: 10.21776/ub.natural-b.2017.004.02.6

Abstract

This article discusses a model of lung cancer as the effect of smoking behavior on both active and passive smoker. There are four subpopulations in this model, namely susceptible subpopulation, active smoker subpopulation, passive smoker subpopulation, and subpopulation of lung cancer.  Dynamical analysis is conducted to determine the equilibrium point, existence condition for equilibrium point, and analyze their stability. Based on analysis result, there are three equilibrium points. First equilibrium point shows that all subpopulations extinct. Second equilibrium point shows that only susceptible subpopulation can survive, and the last equilibrium point shows that all subpopulations can survive. First equilibrium point always exists while the others exist under certain condition. The stability of first equilibrium point can be reached when the intrinsic growth rate is less than the death rate. Whereas, the others equilibrium points will be stable under certain condition. Numerical simulation is performed to illustrate the analysis result. It is shown that numerical results are in accordance with analysis result. These numerical simulations also indicate that the rate of passive smoker plays important role in the growth rate of lung cancer.
Co-Authors Andonowati Andonowati Ani Budi Astuti Deasy Sandhya Elya Ikawati Fitroh Aulani Hidayatulloh, Muhammad Rif’an Ikawati, Deasy Sandhya Elya Isnani Darti Kwardiniya Andawaningtyas Lu’luul Wardah Muna Afdi Muniroh Ni’matur Rohmah Nurmaini Puspitasari Nurmaini Puspitasari Risyqaa Syafitri Trisilowati Trisilowati Trisilowati Trisilowati, Trisilowati Trisilowati, Trisilowati Yuni Ayu Anita