2018
6
1
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Influence of awareness programs by media in the typhoid fever: a study based on mathematical modeling
2
2
In this paper, we propose and analyze a mathematical model describing the effect of awareness programs by public media on the prevalence of Typhoid fever. A threshold quantity $R_{0}$, similar to the basic reproduction number is derived. We investigate the biologically meaningful equilibrium points and their local stability analysis. The global stability analysis has been performed with respect to the disease free equilibrium (DFE) $E_{0}$ by considering suitable Lyapunov function. We derive the stability condition of the DFE point $E_{0}$ and the interior steadystate $E^{*}$ with respect to the basic reproduction number $R_{0}$. We perform the analysis of Hopfbifurcation with respect to the rate of executing awareness programs which has a substantial role on the dynamics of the model system. We investigate extensive numerical simulations to validate our analytical findings.
1

1
26


Jayanta
Mondal
Department of Mathematics, Diamond Harbour Women's University, Sarisha743368, India
Department of Mathematics, Diamond Harbour
Iran
jayantajumath@gmail.com
Typhoid fever
awareness program
Hopfbifurcation
basic reproduction number
stability analysis
An ${cal O}(h^{8})$ optimal Bspline collocation for solving higher order boundary value problems
2
2
As we know the approximation solution of seventh order two points boundary value problems based on Bspline of degree eight has only ${cal O}(h^{2})$ accuracy and this approximation is nonoptimal. In this work, we obtain an optimal spline collocation method for solving the general nonlinear seventh order two points boundary value problems. The ${cal O}(h^{8})$ convergence analysis, mainly based on the Green's function approach, has been proved. Numerical illustration demonstrate the applicability of the purposed method. Three test problems have been solved and the computed results have been compared with the results obtained by recent existing methods to verify the accurate nature of our method.
1

27
46


Shokofeh
Sharifi
Department of Mathematics and statistics, Central Tehran Branch, Islamic Azad University, Tehran, Iran
Department of Mathematics and statistics,
Iran
sh.sharifi_m61@yahoo.com


Rashidinia
Jalil
School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran
School of Mathematics, Iran University of
Iran
rashidinia@iust.ac.ir
Nonlinear boundary value problems
eighth degree Bspline
collocation method
convergence analysis
Green's function
Global properties of a tuberculosis model with lost sight and multicompartment of latents
2
2
A tuberculosis (TB) model with lost sight and multiple latent classes is considered and studied. We derive the basic reproduction ratio $mathcal R_0$. There is always a globally asymptotically stable equilibrium state. Depending on the value of $mathcal{R}_0$, this state can be either endemic ($mathcal{R}_0> 1$), or infectionfree ($mathcal{R}_0leq 1$). The global asymptotic stability of equilibria is established using Lyapunov functions that combine quadratic, Volterratype and linear functions. The theory is supported by numerical simulations.
1

47
76


Anatole
Temgoua
Laboratory of Mathematics, Department of Mathematics and Computer
Science, Faculty of Science, University of Douala, PO Box 24157 Douala,
Cameroon.
UMI 209 IRD & UPMC UMMISCO, Bondy, France Project team GRIMCAPECameroon
Laboratory of Mathematics, Department of
Iran
temgouaanatole@yahoo.fr


Yannick
Malong
Laboratory of Mathematics, Department of Mathematics and Computer Science, Faculty of Science, University of Douala, PO Box 24157 Douala,
Cameroon. UMI 209 IRD & UPMC UMMISCO, Bondy, France
Project team GRIMCAPECameroon
Laboratory of Mathematics, Department of
Iran
ycmalong@yahoo.fr


Joseph
Mbang
Department of Mathematics, Faculty of Science,
University of Yaounde I, PO Box 812 Yaounde, Cameroon
Department of Mathematics, Faculty of Science,
Uni
Iran
mbangjoseph74@gmail.com


Samuel
Bowong
Laboratory of Mathematics, Department of Mathematics and Computer
Science, Faculty of Science, University of Douala, PO Box 24157 Douala,
Cameroon. UMI 209 IRD & UPMC UMMISCO, Bondy, France Project team GRIMCAPECameroon
Laboratory of Mathematics, Department of
Iran
sbowong@univdouala.com
TB
mathematical models
basic reproduction number
stability
Solution of Troesche's problem by double exponential Sinc collocation method
2
2
In this investigation, the Sinc collocation method based on double exponential transformation is developed to solve the Troesche's problem. Properties of this method are utilized to reduce the system of strongly nonlinear two point boundary value problem to same nonlinear algebraic equations. Combining double exponential transformation through Sinc collocation method causes the remarkable results. To illustrate the high accuracy of the method, the obtained solutions are compared with results of other methods in open literature. The demonstrated results show the simplicity and considerably accuracy of this method in comparison with other methods.
1

77
90


Mohammad
Nabati
Department of Basic Sciences, Abadan Faculty of Petroleum Engineering, Petroleum University of Technology, Abadabn, Iran
Department of Basic Sciences, Abadan Faculty
Iran
nabati@put.ac.ir


Soudabeh
Nikmanesh
Department of Basic Sciences, Abadan Faculty of Petroleum Engineering, Petroleum University of Technology, Abadabn, Iran
Department of Basic Sciences, Abadan Faculty
Iran
soudabeh.nikmanesh@put.ac.ir


Mehdi
Jalalvand
Department of Mathematics, Faculty of Mathematical Sciences and Computer,
Shahid Chamran University of Ahvaz, Ahvaz, Iran
Department of Mathematics, Faculty of Mathematical
Iran
m.jalalvand@scu.ac.ir
Sinc function
collocation method
double exponential transformation
nonlinear Troesche's problem
Modified Laplace decomposition method for fractional VolterraFredholm integrodifferential equations
2
2
This paper successfully applies the Adomian decomposition and the modified Laplace Adomian decomposition methods to find the approximate solution of a nonlinear fractional VolterraFredholm integrodifferential equation. The reliability of the methods and reduction in the size of the computational work give these methods a wider applicability. Also, the behavior of the solution can be formally determined by analytical approximate. Moreover, the paper proves the convergence and uniqueness of the solution. Finally, this study includes an example to demonstrate the validity and applicability of the proposed techniques.
1

91
104


Ahmed
Hamoud
Department of Mathematics, Taiz University, Taiz, 96704, Yemen
and
Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University Aurangabad, 431004, India
Department of Mathematics, Taiz University,
Iran
drahmedselwi985@gmail.com


Kirtiwant
Ghadle
Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, 431004, India.
Department of Mathematics, Dr. Babasaheb
Iran
drkp.ghadle@gmail.com
Laplace transform
Adomian decomposition method
fractional VolterraFredholm integrodifferential equation
Caputo fractional derivative
Biorthogonal waveletbased fullapproximation schemes for the numerical solution of elastohydrodynamic lubrication problems
2
2
Biorthogonal waveletbased fullapproximation schemes are introduced in this paper for the numerical solution of elastohydrodynamic lubrication line and point contact problems. The proposed methods give higher accuracy in terms of better convergence with low computational time, which have been demonstrated through the illustrative problems.
1

105
122


Siddu C.
Shiralashetti
Department of Mathematics, Karnatak University Dharwad580003, India & Department of Mathematics, KLECET Chikodi591201, India
Department of Mathematics, Karnatak University
Iran
shiralashettisc@gmail.com


Mounesha H.
Kantli
Department of Mathematics, KLE Society's J. T. College, Gadag582101, India
Department of Mathematics, KLE Society's
Iran
mkantli@gmail.com


Aravind B.
Deshi
Department of Mathematics, Karnatak University Dharwad580003, India & Department of Mathematics, KLECET Chikodi591201, India
Department of Mathematics, Karnatak University
Iran
aravind42d@gmail.com
CDF wavelets filter coefficients
Fullapproximation scheme
Elastohydrodynamic lubrication problems