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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2018.1
- 수록면
- 1,039 - 1,048 (10page)
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In this paper we study the dynamics of a general $\omega$-periodic model. Necessary and sufficient conditions for the global stability of zero steady state of the model are given. The conditions under which there exists a unique periodic solutions to the model are determined. We also show that the unique periodic solution is the global attractor of all other positive solutions. Some applications to mathematical models for cancer and tumor growth are given.
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참고문헌 (6)
참고문헌 신청
M. Bai / 2013 / Qualitative analysis of a mathematical model for tumor growth with a periodic supply of external nutrients / Pac. J. Appl. Math. 5(4):217~223
S. Cui / 2007 / Analysis of mathematical models for the growth of tumors with time delays in cell proliferation / J. Math. Anal. Appl. 336(1):523~541
U. Forys / 2016 / Asymptotic dynamics of some t-periodic one- dimensional model with application to prostate cancer immunotherapy / J. Math. Biol. 73(4):867~883
A. Friedman / 1999 / Analysis of a mathematical model for the growth of tumors / J. Math. Biol. 38(3):262~284
J. C. Panetta / 1995 / Mathematical models of chemotherapy / ProQuest LLC
S. Cui / 2007 / Analysis of mathematical models for the growth of tumors with time delays in cell proliferation / J. Math. Anal. Appl. 336(1):523~541
U. Forys / 2016 / Asymptotic dynamics of some t-periodic one- dimensional model with application to prostate cancer immunotherapy / J. Math. Biol. 73(4):867~883
A. Friedman / 1999 / Analysis of a mathematical model for the growth of tumors / J. Math. Biol. 38(3):262~284
J. C. Panetta / 1995 / Mathematical models of chemotherapy / ProQuest LLC
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