<p style='text-indent:20px;'>The action of a tumor on the immune system includes stimulation and neutralization, which usually have different time delays. In this work we propose tumor-immune to incorporate these two kinds delays due actions. We explore effects model find some phenomena induced by them. When there is only neutralization delay, has uniform upper bound while when varies wit...

in this paper, we have proposed a study on controllability and optimal harvestingof a prey predator model and mathematical non linear formation of the equation equilibriumpoint of routh harvest stability analysis. the problem of determining the optimal harvestpolicy is solved by invoking pontryagin0s maximum principle dynamic optimization of theharvest policy is studied by taking the combined h...

The aim of this work is to describe the qualitative behavior of the solution set of a given system of fractional differential equations and limiting behavior of the dynamical system or flow defined by the system of fractional differential equations. In order to achieve this goal, it is first necessary to develop the local theory for fractional nonlinear systems. This is done by the extension of...

In this article, the reduced differential transform method is introduced to solve nonlinear fractional model of Tumor-Immune. The derivatives are described in Caputo sense. solutions derived using easy and very accurate. given by its signal flow diagram. Moreover, a simulation system Simulink MATLAB given. disease-free equilibrium stability point calculated. Formulation optimal control for canc...