Improved numerical solutions for chaotic-cancer-model

In biological sciences, dynamical system of cancer model is well known due to its sensitivity and chaoticity. Present work provides detailed computational study of cancer model by counterbalancing its sensitive dependency on initial conditions and parameter values. Cancer chaotic model is discretize...

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Bibliographic Details
Published in:AIP advances 2017-01, Vol.7 (1), p.015110-015110-7
Main Authors: Yasir, Muhammad, Ahmad, Salman, Ahmed, Faizan, Aqeel, Muhammad, Akbar, Muhammad Zubair
Format: Article
Language:English
Subjects:
Biological models (mathematics)
Cancer
Chaos theory
Dependence
Initial conditions
Nonlinear equations
Parameter sensitivity
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Summary:In biological sciences, dynamical system of cancer model is well known due to its sensitivity and chaoticity. Present work provides detailed computational study of cancer model by counterbalancing its sensitive dependency on initial conditions and parameter values. Cancer chaotic model is discretized into a system of nonlinear equations that are solved using the well-known Successive-Over-Relaxation (SOR) method with a proven convergence. This technique enables to solve large systems and provides more accurate approximation which is illustrated through tables, time history maps and phase portraits with detailed analysis.
ISSN:2158-3226
2158-3226
DOI:10.1063/1.4974881