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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.22 No.4
- 발행연도
- 2018.12
- 수록면
- 253 - 287 (35page)
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초록· 키워드
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This paper studies the global stability of a class of discrete-time pathogen infection models with latently infected cells. The rate of pathogens infect the susceptible cells is taken as bilinear, saturation and general. The continuous-time models are discretized by using nonstandard finite difference scheme. The basic and global properties of the models are established. The global stability analysis of the equilibria is performed using Lyapunov method. The theoretical results are illustrated by numerical simulations.
목차
ABSTRACT
1. INTRODUCTION
2. MODEL WITH BILINEAR INCIDENCE
3. MODEL WITH SATURATED INCIDENCE
4. MODEL WITH GENERAL INCIDENCE
5. NUMERICAL SIMULATIONS
6. CONCLUSION
REFERENCES
참고문헌 (55)
참고문헌 신청
[학술지(정기간행물)] - M. A. Nowak / 1996 / Population dynamics of immune responses to persistent viruses / Science 272 : 74 ~ 79
[학술지(정기간행물)] - D.S. Callaway / 2002 / HIV-1 infection and low steady state viral loads / Bulletin of Mathematical Biology 64 : 29 ~ 64
[학술지(정기간행물)] - A. M. ELAIW / 2014 / GLOBAL ANALYSIS FOR A DELAY-DISTRIBUTED VIRAL INFECTION MODEL WITH ANTIBODIES AND GENERAL NONLINEAR INCIDENCE RATE / Journal of the Korean Society for Industrial and Applied Mathematics 18 (4) : 317 ~ 335
[학술지(정기간행물)] - A. M. ELAIW / 2015 / GLOBAL THRESHOLD DYNAMICS IN HUMORAL IMMUNITY VIRAL INFECTION MODELS INCLUDING AN ECLIPSE STAGE OF INFECTED CELLS / Journal of the Korean Society for Industrial and Applied Mathematics 19 (2) : 137 ~ 170
[학술지(정기간행물)] - H. Shu / 2013 / Global stability of a nonlinear viral infection model with infinitely distributed intracellular delays and CTL imune responses / SIAM Journal of Applied Mathematics 73 (3) : 1280 ~ 1302
[학술지(정기간행물)] - D.S. Callaway / 2002 / HIV-1 infection and low steady state viral loads / Bulletin of Mathematical Biology 64 : 29 ~ 64
[학술지(정기간행물)] - A. M. ELAIW / 2014 / GLOBAL ANALYSIS FOR A DELAY-DISTRIBUTED VIRAL INFECTION MODEL WITH ANTIBODIES AND GENERAL NONLINEAR INCIDENCE RATE / Journal of the Korean Society for Industrial and Applied Mathematics 18 (4) : 317 ~ 335
[학술지(정기간행물)] - A. M. ELAIW / 2015 / GLOBAL THRESHOLD DYNAMICS IN HUMORAL IMMUNITY VIRAL INFECTION MODELS INCLUDING AN ECLIPSE STAGE OF INFECTED CELLS / Journal of the Korean Society for Industrial and Applied Mathematics 19 (2) : 137 ~ 170
[학술지(정기간행물)] - H. Shu / 2013 / Global stability of a nonlinear viral infection model with infinitely distributed intracellular delays and CTL imune responses / SIAM Journal of Applied Mathematics 73 (3) : 1280 ~ 1302
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UCI(KEPA) : I410-ECN-0101-2019-410-000147516