Complex dynamics in a stochastic internal HIV model |
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Authors: | Zaitang Huang Qigui Yang Junfei Cao |
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Institution: | aSchool of Mathematical Sciences, Guangxi Teachers Education University, Nanning 530023, PR China;bSchool of Mathematical Sciences, South China University of Technology, Guangzhou 510640, PR China |
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Abstract: | In this paper, we analyze a stochastic model representing HIV internal virus dynamics. The stochasticity in the model is introduced by parameter perturbation which is a standard technique in stochastic population modeling. By analyzing the Lyapunov exponent, singular boundary and probability density, some new criteria ensuring stochastic stability, D-bifurcation and P-bifurcation for stochastic internal HIV model are obtained, respectively. Numerical simulation results are given to support the theoretical predictions. |
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