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Debadatta Adak Nandadulal Bairagi 《Mathematical Methods in the Applied Sciences》2019,42(12):4256-4272
In this paper, we proposed a multidelayed in‐host HIV model to represent the interaction between human immunodeficiency virus and immune response. One delay was considered to incorporate the time required by the virus for various intracellular events to make a host cell productively infective, and the second delay was introduced to take into account the time required for adaptive immune system to respond against infection. We extensively analyzed this multidelayed model analytically and numerically. We show that delay may have both destabilizing and stabilizing effects even when the system contains a single immune response delay. It happens when there exists two sequences of critical values of this delay. If the system starts with stable state in absence of delay, then the smallest value of these critical delays causes instability and the next higher value causes stability. The system may also show stability switching for different values of the virus replication factor. These results demonstrate the possible reasons of intrapatients and interpatients variability of CD4+ T cells and virus counts in HIV‐infected patients. 相似文献
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Ghorai Santu Chakraborty Priyanka Poria Swarup Bairagi Nandadulal 《Nonlinear dynamics》2020,100(1):749-762
Nonlinear Dynamics - Dispersal-induced pattern formation is important from both fundamental and application points of view. Spatial pattern in an ecological system can strongly depend on exogenous... 相似文献
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Analysis of a fractional order eco‐epidemiological model with prey infection and type 2 functional response 下载免费PDF全文
Shuvojit Mondal Abhijit Lahiri Nandadulal Bairagi 《Mathematical Methods in the Applied Sciences》2017,40(18):6776-6789
In this paper, we introduce fractional order into an ecoepidemiological model, where predator consumes disproportionately large number of infected preys following type 2 response function. We prove different mathematical results like existence, uniqueness, nonnegativity, and boundedness of the solutions of fractional order system. We also prove the local and global stability of different equilibrium points of the system. The results are illustrated with several examples. 相似文献
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