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In this paper, we conduct a careful global stability analysis for a generalized cholera epidemiological model originally proposed in [J. Wang and S. Liao, A generalized cholera model and epidemic/endemic analysis, J. Biol. Dyn. 6 (2012), pp. 568-589]. Cholera is a water- and food-borne infectious disease whose dynamics are complicated by the multiple(More)
In this paper we present a model for describing the position distribution of the endocardium in the two-chamber apical long-axis view of the heart in clinical B-mode ultrasound cycles. We propose a novel Bayesian formulation, including priors for spatial and temporal smoothness, and preferred shapes and position. The shape model takes into account both(More)
The Rosenzweig-MacArthur (1963) criterion is a graphical criterion that has been widely used for elucidating the local stability properties of the Gause (1934) type predator-prey systems. It has not been stated whether a similar criterion holds for models with explicit resource dynamics (Kooi et al. (1998)), like the chemostat model. In this paper we use(More)
In this paper we study the generalized Fucik type eigenvalue for the boundary value problem of one dimensional p−Laplace type differential equations −(ϕ(u)) = ψ(u), −T < x < T ; u(−T) = 0, u(T) = 0 (*) where ϕ(s) = αs p−1 + − βs p−1 − , ψ(s) = λs p−1 + − µs p−1 − , p > 1. We obtain a explicit characterization of Fucik spectrum (α, β, λ, µ), i.e., for which(More)
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