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- 한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.14 No.1
- 발행연도
- 2010.3
- 수록면
- 1 - 16 (16page)
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초록· 키워드
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An epidemic model with Classical Kermack-Mckendrick incidence rate under a limited resource for treatment is proposed to understand the effect of the capacity for treatment. We have assumed that treatment function is strictly increasing function of infective individuals and becomes constant when the number of infective is very large. Existence and stability of the disease free and endemic equilibrium are investigated, boundedness of the solutions are shown. Even in this simple version of the model, backward bifurcation and multiple epidemic steady states can be observed with some sets of parameter values. Hopf-bifurcation analyses are given and numerical examples are provided to help understanding.
목차
ABSTRACT
1. INTRODUCTION
2. MODEL, BASIC PROPERTIES AND BACKWARD BIFURCATION
3. DYNAMIC BEHAVIOR
4. GLOBAL STABILITY
5. HOPF BIFURCATION AND PERIODIC SOLUTIONS
6. NUMERICAL ANALYSIS AND DISCUSSION
REFERENCES
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UCI(KEPA) : I410-ECN-0101-2010-410-002236836