Analysis of a viral infection model with immune impairment,intracellular delay and general non-linear incidence rate |
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| Affiliation: | 1. School of Management, HeFei University of Technology, Anhui, PR China;2. Anhui Business Vocational College, Hefei Anhui, PR China;3. School of Economics and Management, Southeast University, Nanjing, Jiangsu, PR China;4. School of Economics Management and Law, Chaohu University, Hefei, Anhui, PR China;1. Department of Mechanical Production Engineering, Regional University of Cariri, Av. Leão Sampaio, S/N, Juazeiro do Norte, Ceará 63040-000, Brazil;2. Department of Mechanical Engineering, Federal University of Paraiba, LES/UFPB – Cidade Universitária, João Pessoa, Paraíba 58090-900, Brazil;3. Department of Metallurgical Engineering and Material Science, Federal University of Ceará, Campus do Pici, Bloco 714, Fortaleza, Ceará 60455-760, Brazil;1. INRIA Bordeaux Sud-Ouest, Campus Bordeaux 1, 33405 Talence, France;2. LIRYC, L’Institut de RYthmologie et modélisation Cardiaque, Bordeaux, France;3. LE2I CNRS UMR 6306, Université de Bourgogne, Dijon, France;1. Facultad de Física, Departamento de Física Atómica, Molecular y Nuclear, Universidad de Sevilla, 4012 Sevilla, Spain;2. Facultad de Ciencias Experimentales, Universidad de Huelva, 21071 Huelva, Spain;3. Instituto de Astrofísica de Andalucía, CSIC, Apt. 3004, Camino Bajo de Huetor 50, 18080 Granada, Spain;4. Institute of Space Sciences (CSIC-IEEC), Campus UAB, Facultat de Ciències, Torre C5-parell-2ª, 08193 Bellaterra, Barcelona, Spain;5. Grup d’Estudis Astronòmics (GEA) and Agrupació Astronòmica d’Osona, Barcelona, Spain |
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| Abstract: | In this article we study the dynamical behaviour of a intracellular delayed viral infection with immune impairment model and general non-linear incidence rate. Several techniques, including a non-linear stability analysis by means of the Lyapunov theory and sensitivity analysis, have been used to reveal features of the model dynamics. The classical threshold for the basic reproductive number is obtained: if the basic reproductive number of the virus is less than one, the infection-free equilibrium is globally asymptotically stable and the infected equilibrium is globally asymptotically stable if the basic reproductive number is higher than one. |
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