【5/4專題演講】S-shaped and broken S-shaped bifurcation diagrams for a multiparameter spruce budworm population problem in one space dimension
主題：
S-shaped and broken S-shaped bifurcation diagrams for a multiparameter spruce budworm population problem in one space dimension
講者：葉宗鑫教授(國立台南大學應用數學系)
時間：104年5月4日(一)下午3:40~5:30
地點：本校民生校區五育樓四樓401教室
Abstract.
We study exact multiplicity and bifurcation diagrams of positive solutions for a multiparameter spruce budworm population steady-state problem in one space dimension. Under some hypotheses, we give a classification of three qualitatively different bifurcation diagrams: an S-shaped curve, a broken S-shaped curve, and a monotone increasing curve. Our results settle rigorously a long-standing open problem in Ludwig, Aronson and Weinberger (J. Math. Biol., 8 (1979), pp. 217-258).
S-shaped and broken S-shaped bifurcation diagrams for a multiparameter spruce budworm population problem in one space dimension
講者：葉宗鑫教授(國立台南大學應用數學系)
時間：104年5月4日(一)下午3:40~5:30
地點：本校民生校區五育樓四樓401教室
Abstract.
We study exact multiplicity and bifurcation diagrams of positive solutions for a multiparameter spruce budworm population steady-state problem in one space dimension. Under some hypotheses, we give a classification of three qualitatively different bifurcation diagrams: an S-shaped curve, a broken S-shaped curve, and a monotone increasing curve. Our results settle rigorously a long-standing open problem in Ludwig, Aronson and Weinberger (J. Math. Biol., 8 (1979), pp. 217-258).