지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
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.18 No.4
- 발행연도
- 2014.12
- 수록면
- 317 - 335 (19page)
이용수
초록· 키워드
오류제보하기
In this work, we investigate the global stability analysis of a viral infection model with antibody immune response. The incidence rate is given by a general function of the populations of the uninfected target cells, infected cells and free viruses. The model has been incorporated with two types of intracellular distributed time delays to describe the time required for viral contacting an uninfected cell and releasing new infectious viruses. We have established a set of conditions on the general incidence rate function and determined two threshold parameters R<SUB>0</SUB> (the basic infection reproduction number) and R<SUB>1</SUB> (the antibody immune response activation number) which are sufficient to determine the global dynamics of the model. The global asymptotic stability of the equilibria of the model has been proven by using Lyapunov theory and applying LaSalle’s invariance principle.
목차
ABSTRACT
1. INTRODUCTION
2. THE MATHEMATICAL MODEL
3. NON-NEGATIVITY AND BOUNDEDNESS OF SOLUTIONS
4. THE EQUILIBRIA AND THRESHOLD PARAMETERS
5. GLOBAL STABILITY ANALYSIS
6. CONCLUSION
REFERENCES
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UCI(KEPA) : I410-ECN-0101-2016-410-001003342