Spatio-temporal dynamics of HIV latent infection model with nonlocal dispersal and multiple intracellular delays
In this paper,a nonlocal dispersal HIV latent infection model with multiple time delays is established to study the infection mechanism of HIV in the host.Specifically,the time delay between the initial virus infection and the successful integration of the HIV virus RNA into the target cell DNA,the time delay between neutralizing cell infection and the generation of the virus are both considered.At the same time,the non-local dispersal of the free virus in the space heterogeneous environment is also considered.Firstly,the global well-posedness,compactness and asymptotic smoothness of the solution semiflow of the system are proved.Secondly,the functional expression of the basic reproduction number is derived and the relationship between the principal eigenvalue and the basic reproduction number is proved,which is given by the definition of the next generation regeneration operator.The consistent persistence of the model is studied by using the persistence theory of infinite dimensional systems.Thirdly,the global threshold dynamics of the system is discussed by setting the eigenfunction as the integral kernel of the Lyapunov functional.Specifically,when R0≤1,the infection-free steady state is globally stable,otherwise,the infection steady state is globally stable.Finally,the theoretical results are verified by numerical simulation.In addition,the numerical results show that:(1)increasing the dispersal rate and reducing the intracellular delays will increase the final viral load;(2)The dispersal kernel function influence the value of R0 and the final load of the virus.This shows that the nonlocal dispersal and intracellular delays play a key role in the process of HIV infection in the host.
万方数据
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