Analysis of the Dynamics of Helicobacter Pylori in the Presence of Concentration of Co2 and Immune System

In this paper, we present a mathematical model describing the dynamics of Helicobacter pylori population in the presence of 〖CO〗_2 and the immune system. We analyze the mathematical and biological meaningful of the model. We analyze the equilibrium of the model. This analysis shows the presence of two types of equilibrium. The first one occurs in the absence of the immune response and when there is no 〖CO〗_2 in the stomach, called “disease-free equilibrium”. The second equilibriums, called “endemic equilibriums”, occur in the presence of immune response and when the concentration of 〖CO〗_2 is not null. The numerical simulation shows that with good alimentary behaviors, the disease-free equilibrium point can be reached. MSC 2000, 34D15, 34D23, 92D25, 37B55