Role of Active and Inactive Cytotoxic Immune Response in Human Immunodeficiency Virus Dynamics |
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| Authors: | Hernan Dario Toro Zapata Angelica Graciela Caicedo Casso Derdei Bichara Sunmi Lee |
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| Institution: | aLicenciatura en Matemáticas, Universidad del Quindío, Quindío, Colombia;bDepartamento de Matematicas, Universidad del Valle, Cali, Colombia;cMathematical, Computational and Modeling Sciences Center, Arizona State University, Tempe, AZ, USA;dDepartment of Applied Mathematics, Kyung Hee University, Yongin, Korea |
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| Abstract: | ObjectivesMathematical models can be helpful to understand the complex dynamics of human immunodeficiency virus infection within a host. Most of work has studied the interactions of host responses and virus in the presence of active cytotoxic immune cells, which decay to zero when there is no virus. However, recent research highlights that cytotoxic immune cells can be inactive but never be depleted.MethodsWe propose a mathematical model to investigate the human immunodeficiency virus dynamics in the presence of both active and inactive cytotoxic immune cells within a host. We explore the impact of the immune responses on the dynamics of human immunodeficiency virus infection under different disease stages.ResultsStandard mathematical and numerical analyses are presented for this new model. Specifically, the basic reproduction number is computed and local and global stability analyses are discussed.ConclusionOur results can give helpful insights when designing more effective drug schedules in the presence of active and inactive immune responses. |
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| Keywords: | Mathematical model Human immunodeficiency virus Active immune response Inactive immune response |
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