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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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A deterministic model for the spread of pine wilt disease with asymptomatic carrier trees in the host pine population is designed and rigorously analyzed. We have taken four different classes for the trees, namely susceptible, exposed, asymptomatic carrier and infected, and two different classes for the vector population, namely susceptible and infected. A complete global analysis of the model is given, which reveals that the global dynamics of the disease is completely determined by the associated basic reproduction number, denoted by $\mathcal{R}_0$. If $\mathcal{R}_0$ is less than one, the disease-free equilibrium is globally asymptotically stable, and in such a case, the endemic equilibrium does not exist. If $\mathcal{R}_0$ is greater than one, the disease persists and the unique endemic equilibrium is globally asymptotically stable.
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참고문헌 (23)
참고문헌 신청
A. Fonda / 1988 / Uniformly persistent semidynamical system / Proc. Amer. Math. Soc 104 (1) : 111 ~ 116
A. Yoshimura / 1999 / Mod-eling the spread of pine wilt disease caused by nematodes with pine sawyers as vector / Ecology 80 (5) : 1691 ~ 1702
B. G. Zhao / 2008 / Pine Wilt Disease / Springer
F. Takasu / 2000 / Mod-eling the expansion of an introduced tree disease / Biological Invasions 2 (2) : 141 ~ 150
F. Takasu / 2009 / Individual-basedmodeling of the spread of pine wilt disease: vector beetle dispersal and the Allee effect / Population Ecology 51 (3) : 399 ~ 409
A. Yoshimura / 1999 / Mod-eling the spread of pine wilt disease caused by nematodes with pine sawyers as vector / Ecology 80 (5) : 1691 ~ 1702
B. G. Zhao / 2008 / Pine Wilt Disease / Springer
F. Takasu / 2000 / Mod-eling the expansion of an introduced tree disease / Biological Invasions 2 (2) : 141 ~ 150
F. Takasu / 2009 / Individual-basedmodeling of the spread of pine wilt disease: vector beetle dispersal and the Allee effect / Population Ecology 51 (3) : 399 ~ 409
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