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The steady state properties for the effect of non-immunogenic microenvironmental factors on tumor growth dynamics in the presence of immune response is investigated. The corresponding Fokker-Planck equation to the Langevin model equation interpreted in the sense of Stratonovich is used to derive the steady state distribution ρst (x) and the mean 〈x〉st of the tumor growth system. We find that the correlation strength ϕ stimulates the effect of the non-immunogenic microenvironmental factors σ on the tumor growth dynamics, and the tumor response M to the non-immunogenic microenvironmental factors within the tumor site may inhibits tumor growth, but not sufficient enough to cause extinction. Moreover, the result also indicates that the stronger the immune response λ the more the tumor population disappears.

Effect of non-immunogenic microenvironmental factors on tumor growth dynamics modeled by correlated noises in the presence of immune response