A class of diffusive delayed viral infection models with general incidence function and cellular proliferation
CC BY
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| Định dạng: | Sách |
| Ngôn ngữ: | English |
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Springer
2023
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| Truy cập trực tuyến: | https://dlib.phenikaa-uni.edu.vn/handle/PNK/7444 |
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oai:localhost:PNK-74442023-04-03T08:07:20Z A class of diffusive delayed viral infection models with general incidence function and cellular proliferation Alexis, Nangue Willy Armel Tacteu, Fokam hepatitis B virus hepatitis C virus CC BY We propose and analyze a new class of three dimensional space models that describes infectious diseases caused by viruses such as hepatitis B virus (HBV) and hepatitis C virus (HCV). This work constructs a Reaction–Diffusion-Ordinary Differential Equation model of virus dynamics, including absorption effect, cell proliferation, time delay, and a generalized incidence rate function. By constructing suitable Lyapunov functionals, we show that the model has threshold dynamics: if the basic reproduction number R0(τ)≤1, then the uninfected equilibrium is globally asymptotically stable, whereas if R0(τ)>1, and under certain conditions, the infected equilibrium is globally asymptotically stable. 2023-04-03T07:58:56Z 2023-04-03T07:58:56Z 2022 Book https://dlib.phenikaa-uni.edu.vn/handle/PNK/7444 en https://link.springer.com/article/10.1007/s10468-021-10099-x application/pdf Springer |
| institution |
Digital Phenikaa |
| collection |
Digital Phenikaa |
| language |
English |
| topic |
hepatitis B virus hepatitis C virus |
| spellingShingle |
hepatitis B virus hepatitis C virus Alexis, Nangue Willy Armel Tacteu, Fokam A class of diffusive delayed viral infection models with general incidence function and cellular proliferation |
| description |
CC BY |
| format |
Book |
| author |
Alexis, Nangue Willy Armel Tacteu, Fokam |
| author_facet |
Alexis, Nangue Willy Armel Tacteu, Fokam |
| author_sort |
Alexis, Nangue |
| title |
A class of diffusive delayed viral infection models with general incidence function and cellular proliferation |
| title_short |
A class of diffusive delayed viral infection models with general incidence function and cellular proliferation |
| title_full |
A class of diffusive delayed viral infection models with general incidence function and cellular proliferation |
| title_fullStr |
A class of diffusive delayed viral infection models with general incidence function and cellular proliferation |
| title_full_unstemmed |
A class of diffusive delayed viral infection models with general incidence function and cellular proliferation |
| title_sort |
class of diffusive delayed viral infection models with general incidence function and cellular proliferation |
| publisher |
Springer |
| publishDate |
2023 |
| url |
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7444 |
| _version_ |
1762184304381657088 |
| score |
8.881002 |