[5/4Seminar]S-shaped and broken S-shaped bifurcation diagrams for a multiparameter spruce budworm population problem in one space dimension
Speaker：Tzung-Shin Yeh
Affiliation：Department of Applied Mathematics, National University of Tainan
Time：3:40~5:30 pm, 05/04/2015
Venue：R401, Minsheng Campus
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).
Affiliation：Department of Applied Mathematics, National University of Tainan
Time：3:40~5:30 pm, 05/04/2015
Venue：R401, Minsheng Campus
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).
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