Fuzzy optimal treatment of AIDS-related non-Hodgkin’s cancer

The Aids-related non-Hodgkin’s lymphomas are the second most frequent cancer. A proposed treatment strategy should be implemented as short as possible. A long time treatment protocol not only devitalizes the immune system but also cause to drug resistance. It is observed in many cases that the immune system is able to diminish the tumor cells without any external treatment. Based on these, an extended model for cancer during the treatment has been proposed. A mixed chemo-immunotherapy proposed which the chemotherapy limits the tumor cell growth and the immunotherapy modifies the dynamics of the system. Hence, the equilibrium points of the system, their stabilities and the bifurcation of the system investigated. In order to obtain an optimal dose and considering the conditions of a patient the SDRE method combined with a fuzzy system. The simulation results show an efficient treatment should not only reduce the population of cancer cells but also must modify the dynamics of the system.