Positive solutions of an abstract fractional semipositone differential system model for bioprocesses of HIV infection

作者：

Highlights：

• The abstract fractional dynamics model is based on a class of bioprocesses of HIV infection.

• The nonlinear terms and boundary conditions all depend on fractional derivatives of unknown functions.

• The system is singular and semipositone.

• The system involves some uncertain parametrical variations λ.

摘要

•The abstract fractional dynamics model is based on a class of bioprocesses of HIV infection.•The nonlinear terms and boundary conditions all depend on fractional derivatives of unknown functions.•The system is singular and semipositone.•The system involves some uncertain parametrical variations λ.

论文关键词：HIV infection model,Semipositone,Fractional differential system,Integral boundary conditions,Positive solutions,Fixed point theorem in cone

论文评审过程：Available online 28 February 2015.

论文官网地址：https://doi.org/10.1016/j.amc.2015.01.080