Yuanji Cheng

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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 work we introduce a novel operator Δ(p,q) as an extended family of operators that generalize the p-Laplace operator. The operator is derived with an emphasis on image processing applications, and particularly, with a focus on image denoising applications. We propose a non-linear transition function, coupling p and q, which yields a non-linear(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 + − βs − , ψ(s) = λs + − μs − , p > 1. We obtain a explicit characterization of Fucik spectrum (α, β, λ, μ), i.e., for which the (*)(More)
S OF LECTURES Wednesday, May 11, 2:15 pm – 3:05 pm THE GROWTH OF UNIVALENT FUNCTIONS WITH AN INITIAL GAP Walter K. Hayman Imperial College London (Joint work with Dov Aharonov and Christian Pommerenke) We consider the class Sp of those functions f(z) = z + ap+1z + . . . univalent in the unit disk ∆. We show that if f ∈ Sp, where p is large, then α(f) = lim(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)
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