Abstract—This study observed a local stability of mathematical model for cancer treatment by using gene therapy. Started with modelling the Gene Therapy for Cancer Treatment then continued with the discussion about equilibrium point, the model was developed by Lotka-Volterra model. It is very important to investigate the behaviour of equilibrium point such as the stability of that point in certain conditions especially a local stability. Furthermore, simulation of the model was given by taking some certain parameter values.
Index Terms—Cancer, gene therapy, Lotka Volterra, stability.
The authors are with the Department of Mathematics Education, Faculty of Mathematics and natural Science, Yogyakarta State University, Indonesia (e-mail: dwilestari@uny.ac.id, dwilestari.math@gmail.com, naasaa28@gmail.com ).
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Cite: Dwi Lestari and Ratnasari Dwi Ambarwati, "A Local Stability of Mathematical Models for Cancer Treatment by Using Gene Therapy," International Journal of Modeling and Optimization vol. 5, no. 3, pp. 202-206, 2015.