IMMUNE RESPONSE IN HIV EPIDEMICS FOR DISTINCT TRANSMISSION RATES AND FOR SATURATED CTL RESPONSE

被引：14
作者：
Carvalho, Ana R. M. [1 ]
Pinto, Carla M. A. [2 ]
机构：
[1] Univ Porto, Fac Sci, Rua Campo Alegre S-N, P-4440452 Porto, Portugal
[2] Univ Porto, Ctr Math, Polytech Porto, Sch Engn, Rua Dr Antonio Bernardino de Almeida 431, P-4249015 Porto, Portugal
来源：
MATHEMATICAL MODELLING OF NATURAL PHENOMENA | 2019年 / 14卷 / 03期
关键词：
HIV infection; disease transmission rates; saturated CTL response; fractional model; FRACTIONAL CALCULUS; INFECTION; MODEL; DYNAMICS; VACCINATION; IMPACT; CELLS;
D O I：
10.1051/mmnp/2019007
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we study the immune response in a fractional order model for HIV dynamics, for distinct disease transmission rates and saturated cytotoxic T-lymphocyte (CTL) response. Our goal is twofold: (i) to analyze the role of the order of the fractional derivative, alpha, on the efficacy of the immune response, (ii) to examine the immune response for distinct transmission functions, in the presence of saturated CTL response. We compute the reproduction number of the model and state the stability of the disease-free equilibrium. We discuss the results of the model from an epidemiological point of view.
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页数：13
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共 34 条
  • [21] Mathematical analysis of a class of HIV infection models of CD4+ T-cells with combined antiretroviral therapy
    Mojaver, Aida
    Kheiri, Hossein
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2015, 259 : 258 - 270
  • [22] Tuning algorithms for fractional order internal model controllers for time delay processes
    Muresan, Cristina I.
    Dutta, Abhishek
    Dulf, Eva H.
    Pinar, Zehra
    Maxim, Anca
    Ionescu, Clara M.
    [J]. INTERNATIONAL JOURNAL OF CONTROL, 2016, 89 (03) : 579 - 593
  • [23] A fractional order controller for seismic mitigation of structures equipped with viscoelastic mass dampers
    Muresan, Cristina I.
    Dulf, Eva H.
    Prodan, Ovidiu
    [J]. JOURNAL OF VIBRATION AND CONTROL, 2016, 22 (08) : 1980 - 1992
  • [24] Population dynamics of immune responses to persistent viruses
    Nowak, MA
    Bangham, CRM
    [J]. SCIENCE, 1996, 272 (5258) : 74 - 79
  • [25] Fractional Dynamics of an Infection Model With Time-Varying Drug Exposure
    Pinto, Carla M. A.
    Carvalho, Ana R. M.
    [J]. JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2018, 13 (09):
  • [26] The impact of pre-exposure prophylaxis (PrEP) and screening on the dynamics of HIV
    Pinto, Carla M. A.
    Carvalho, Ana R. M.
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2018, 339 : 231 - 244
  • [27] Fractional complex-order model for HIV infection with drug resistance during therapy
    Pinto, Carla M. A.
    Carvalho, Ana R. M.
    [J]. JOURNAL OF VIBRATION AND CONTROL, 2016, 22 (09) : 2222 - 2239
  • [28] New studies for general fractional financial models of awareness and trial advertising decisions
    Sweilam, Nasser H.
    Abou Hasan, Muner M.
    Baleanu, Dumitru
    [J]. CHAOS SOLITONS & FRACTALS, 2017, 104 : 772 - 784
  • [29] Chaotic attractors in incommensurate fractional order systems
    Tavazoei, Mohammad Saleh
    Haeri, Mohammad
    [J]. PHYSICA D-NONLINEAR PHENOMENA, 2008, 237 (20) : 2628 - 2637
  • [30] Tejado Ines, 2017, Int. J. Dyn. Control, V5, P208, DOI DOI 10.1007/S40435-015-0219-5
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