Benchawan Wiwatanapataphee

Curtin University

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Yonghong Wu

Curtin University

Xinguang Zhang

Yantai University

Lishan Liu

Qufu Normal University

Nathnarong Khajohnsaksumeth

Mahidol University

Wannika Sawangtong

Mahidol University

Somsak Orankitjaroen

Centre of Excellence in Mathematics

Thanongchai Siriapisith

Siriraj Hospital

Grant Keady

Curtin University

Pichit Boonkrong

Rangsit University

Piau Phang

Universiti Malaysia Sarawak

Cooperative Institutions

Curtin University

Mahidol University

Centre of Excellence in Mathematics

Office of the Higher Education Commission

Ministry of Education

Southwestern University of Finance and Economics

University of Toronto

Yantai University

University of Science and Technology of China

Xi'an Jiaotong University

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Numerical Simulation of Dispersed Particle-Blood Flow in the Stenosed Coronary Arteries

International Journal of Differential Equations (2018)

Mongkol Kaewbumrung Somsak Orankitjaroen Pichit Boonkrong Buraskorn Nuntadilok Benchawan Wiwatanapataphee

A mathematical model of dispersed bioparticle-blood flow through the stenosed coronary artery under the pulsatile boundary conditions is proposed. Blood is assumed to be an incompressible non-Newtonian fluid and its flow is considered as turbulence described by the Reynolds-averaged Navier-Stokes equations. Bioparticles are assumed to be spherical shape with the same density as blood, and their translation and rotational motions are governed by Newtonian equations. Impact of particle movement on the blood velocity, the pressure distribution, and the wall shear stress distribution in three different severity degrees of stenosis including 25%, 50%, and 75% are investigated through the numerical simulation using ANSYS 18.2. Increasing degree of stenosis severity results in higher values of the pressure drop and wall shear stresses. The higher level of bioparticle motion directly varies with the pressure drop and wall shear stress. The area of coronary artery with higher density of bioparticles also presents the higher wall shear stress.

Pulsatile flow

10.1155/2018/2593425

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Citations (9)

The iterative properties of solutions for a singular k-Hessian system

Nonlinear Analysis Modelling and Control (2023)

Xinguang Zhang Peng Chen Yonghong Wu Benchawan Wiwatanapataphee

In this paper, we focus on the uniqueness and iterative properties of solutions for a singular k-Hessian system involving coupled nonlinear terms with different properties. Unlike the existing work, instead of directly dealing with the system, we use a coupled technique to transfer the Hessian system to an integral equation, and then by introducing an iterative technique, the iterative properties of solution are derived including the uniqueness of solution, iterative sequence, the error estimation and the convergence rate as well as entire asymptotic behaviour.

Hessian matrix

Hessian equation

Sequence (biology)

10.15388/namc.2024.24.33824

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Citations (0)

Existence of Positive Solutions for a Singular Hessian Equation with a Negative Augmented Term

Qualitative Theory of Dynamical Systems (2024)

Xinguang Zhang Peng Chen Yonghong Wu Benchawan Wiwatanapataphee

Abstract In this paper, we focus on the existence of positive solutions for a singular Hessian equation with a negative augmented term. By finding more appropriate upper and lower solutions, we not only overcome the difficulty due to the negative augmented term but also remove a critical condition required in the existing work and establish new results for the existence of positive solutions of the equations under study. Our results improve and complement many existing works.

Hessian matrix

Complement

Hessian equation

10.1007/s12346-023-00943-4

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Citations (2)

The spectral analysis for a singular fractional differential equation with a signed measure

Applied Mathematics and Computation (2015)

Xinguang Zhang Lishan Liu Yonghong Wu Benchawan Wiwatanapataphee

Operator (biology)

Fixed-point index

Spectral Analysis

Singular value

Spectral Properties

10.1016/j.amc.2014.12.068

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Citations (97)

The uniqueness and iterative properties of solutions for a general Hadamard-type singular fractional turbulent flow model

Nonlinear Analysis Modelling and Control (2022)

Xinguang Zhang Pengtao Xu Yonghong Wu Benchawan Wiwatanapataphee

In this paper, we consider the iterative properties of positive solutions for a general Hadamard-type singular fractional turbulent flow model involving a nonlinear operator. By developing a double monotone iterative technique we firstly establish the uniqueness of positive solutions for the corresponding model. Then we carry out the iterative analysis for the unique solution including the iterative schemes converging to the unique solution, error estimates, convergence rate and entire asymptotic behavior. In addition, we also give an example to illuminate our results.

Sequence (biology)

10.15388/namc.2022.27.25473

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Citations (15)

Population game model for epidemic dynamics with two classes of vaccine-induced immunity

Journal of Telecommunication Electronic and Computer Engineering (JTEC) (2017)

Piau Phang Benchawan Wiwatanapataphee Yue Wu

Behavioural factors play a key and pivotal role in the success of a voluntary vaccination programme for combating infectious diseases. Individuals usually base their voluntary vaccination decisions on the perceived costs of vaccination and infection. The perceived cost of vaccination is easily influenced by the degree of protection conferred by vaccines against infection, also known as vaccine efficacy. Although certain vaccines have a decrease in its effectiveness in specific duration of time, they do offer a reduction of transmissibility and faster recovery for vaccinated infected individuals. These additional characteristics of imperfect vaccines are well-captured in an epidemic model with two classes of vaccine-induced immunity. In this paper, the interplays between these characteristics of vaccines, the dynamics of vaccination uptake and epidemics are investigated in the vaccination population games framework. Specifically, we study to what extent the population- and individual-level vaccination rates are influenced by these characteristics of vaccines at equilibrium state.

Epidemic model

Source

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Citations (0)

Journal of Engineering Mathematics (1999)

James M. Hill Yonghong Wu Benchawan Wiwatanapataphee

10.1023/a:1004516429675

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Citations (23)

Existence of positive solutions for third-order semipositone boundary value problems on time scales

Nonlinear Analysis Modelling and Control (2022)

Xinguang Zhang Hui Tian Yonghong Wu Benchawan Wiwatanapataphee

In this paper, we consider the existence of positive solutions for a semipositone third-order nonlinear ordinary differential equation on time scales. In suitable growth conditions, by considering the properties on time scales and establishing a special cone, some new results on the existence of positive solutions are established when the nonlinearity is semipositone.

Cone (formal languages)

Third order

10.15388/namc.2023.28.30229

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Citations (6)

Project-based Learning Model for the Study of Blood Flow in the Human Blood Circulatory System

The International Journal of Learning Annual Review (2008)

Benchawan Wiwatanapataphee Phattharawadee Hadkaew Yonghong Wu

Human blood

10.18848/1447-9494/cgp/v15i03/45686

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Citations (3)

ANALYTICAL SOLUTION FOR THE SPREAD OF EPIDEMIC DISEASES IN COMMUNITY CLUSTERED NETWORK

International Journal of Pure and Apllied Mathematics (2014)

Chang Phang Yonghong Wu Benchawan Wiwatanapataphee

We present a bond percolation model for community clustered networks with an arbitrarily specified joint degree distribution.Our model is based on the Probability Generating Function (PGF) method for multitype networks, but incorporate the free-excess degree distribution, which makes it applicable for clustered networks.In the context of contact network epidemiology, our model serves as a special case of community clustered networks which are more appropriate for modelling the disease transmission in community networks with clustering effects.Beyond the percolation threshold, we are able to obtain the probability that a randomly chosen community-i node leads to the giant component.The probability refers to the probability that an individual in a community will be affected from the infective disease.Besides that, we also establish method to calculate the size of the giant component and the average small-component size (excluding the giant component).When the clustering ef-

10.12732/ijpam.v94i2.2

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Citations (3)