Modeling a Tumor Growth with Piecewise Constant Arguments

摘要: This study is based on an early brain tumor growth that modeled as a hybrid system such (A): , where the parameters and denote positive numbers, are negative numbers integer part of . Equation (A) explains growth, embedded to show drug effect rate causes by immune population. Using (A), we have constructed two models growth: one other population model at low density incorporating Allee function time To consider global behavior investigate discrete solutions (A). Examination characterization stability shows increase decreases local equilibrium point The simulations give detailed description with without effect.