
Khanh Nguyen HuuCan Tho University · Department of Mathematics
Khanh Nguyen Huu
Doctor of Philosophy
About
18
Publications
2,901
Reads
How we measure 'reads'
A 'read' is counted each time someone views a publication summary (such as the title, abstract, and list of authors), clicks on a figure, or views or downloads the full-text. Learn more
124
Citations
Additional affiliations
October 2016 - December 2016
October 2016 - December 2016
January 2001 - June 2016
Publications
Publications (18)
Bài báo nghiên cứu sự lan truyền của COVID-19 bằng đạo hàm phân thứ. Sự lan truyền được quyết định bởi số sinh sản cơ bản R0 và tính ổn định của các điểm cân bằng. Tính ổn định địa phương được xác định bằng phương pháp giá trị riêng. Tính ổn định tiệm cận đều được chứng minh bằng phương pháp hàm Lyapunov và nguyên lý bất biến Lasalle. Chúng tôi chỉ...
We study a modified model for propagation of computer virus with effective antidote in the network. Dynamical behavior of the model is investigated by analyzing the stability of two disease-free equilibria and one endemic equilibrium. For positive antidotal population, one disease-free equilibrium is globally asymptotically stable. We found certain...
MSC: 35J60 47H07 47H10 Keywords: Logistic equation Dependence on the gradient Fixed point index Leggett–Williams theorem a b s t r a c t We consider elliptic Dirichlet problem −∆pu = λf (x, u, ∇u) − g(x, u) in Ω , u = 0 on ∂Ω. Assume that the nonlinearity f satisfies certain growth condition. Using the fixed point index, the Leggett–Williams theore...
We study the attacking behavior of possible worms inWireless Sensor Network (WSNs). Using epidemic theory, we propose
a susceptible-infectious-quarantine-recovered (SIQR)model to describe dynamics of worms propagation with quarantine in the wireless
sensor network. Mathematical analysis shows that dynamics of the spread of worms are determined by t...
In this paper, we obtain an extension of the Krasnoselskii �xed point theorem for
sum of two operators to the case of cone normed spaces. We also prove a variant of the Darbo-
Sadovskii theorem on �xed points for operators condensing with respect to a cone-valued measure
of noncompactness and apply it to the Cauchy problem with deviating argument.
We study a proposed model describing the propagation of computer virus in the network with antidote in vulnerable system. Mathematical analysis shows that dynamics of the spread of computer viruses is determined by the threshold R0. If R0 ≤ 1, the virus-free equilibrium is globally asymptotically stable, and if R0 > 1, the endemic equilibrium is gl...
We study a new model describing the transmission of influenza virus with disease resistance in human. Mathematical analysis shows that dynamics of the spread is determined by the basic reproduction number . If , the disease free equilibrium is globally asymptotically stable, and if , the endemic equilibrium is globally asymptotically stable under s...
We consider a competition model with two species for a limited resource in which the habitat is divided into two patches. By using aggregation methods, the reduced model has the form of classical Lotka-Volterra competition model. We represent the stability of equilibria of the model in various parameter spaces. It is found that the transcritical bi...
We present a global bifurcation study of a four-dimensional system of differential equations, proposed by F.H. Busse and coworkers, modeling instabilities of convection rolls in the Rayleigh-Bénard experiment. The Rayleigh and Prandtl numbers are two natural parameters on which the system depends. We focus on a detailed mathematical study, combinin...
We consider a system of differential equations proposed by Busse et al (1992 Physica D 61 94–105) to describe the development of spatio-temporal structures in Rayleigh–Bénard convection, near the skewed varicose instability. Numerical computations make it clear that the global bifurcations are organized by a codimension two bifurcation with heteroc...
Let W be a non-empty set, X an ordered topological space, L : W → X a single-valued operator and N : W → 2X / {φ} a set-valued operator. Under approximate assumptions on monotonicity of L and N we prove existence results for inclusions Lx ∈ Nx. An application of the obtained results to implicit elliptic equations of the form Lu = f(x, u, Lu) is giv...