In this paper we investigate some stochastic models for tumor-immune systems.
To describe these models, we used a Wiener process, as the noise has a
stabilization effect. Their dynamics are studied in terms of stochastic
stability in the equilibrium points, by constructing the Lyapunov exponent,
depending on the parameters that describe the model. Stochastic stability was
also proved by constructing a Lyapunov function. We have studied and and
analyzed a Kuznetsov-Taylor like stochastic model and a Bell stochastic model
for tumor-immune systems.
In this paper we investigate some stochastic models for tumor-immune systems.
To describe these models, we used a Wiener process, as the noise has a
stabilization effect. Their dynamics are studied in terms of stochastic
stability in the equilibrium points, by constructing the Lyapunov exponent,
depending on the parameters that describe the model. Stochastic stability was
also proved by constructing a Lyapunov function. We have studied and and
analyzed a Kuznetsov-Taylor like stochastic model and a Bell stochastic model
for tumor-immune systems.
In this paper we investigate a stochastic model for an economic game. To
describe this model we have used a Wiener process, as the noise has a
stabilization effect. The dynamics are studied in terms of stochastic stability
in the stationary state, by constructing the Lyapunov exponent, depending on
the parameters that describe the model. Also, the Lyapunov function is
determined in order to analyze the mean square stability. The numerical
simulation that we did justifies the theoretical results.