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DISEASE TRANSMISSION MSEIR MODEL WITH INDIVIDUALS TRAVELING BETWEEN PATCHES i AND i + 1
Sarkhosh Seddighi,Mohd Rizam Abu Bakar,Alli Ebadian 한국전산응용수학회 2010 Journal of applied mathematics & informatics Vol.28 No.5
In this article we want to formulate a disease transmission model, MSEIR model, for a population with individuals travelling between patches i and i + 1 and we derive an explicit formula for the basic repro-ductive number, R0, employing the spectral radius of the next generation operator. Also, in this article we show that a system of ordinary di®eren-tial equations for this model has a unique disease-free equilibrium and it is locally asymptotically stable if R0 < 1 and unstable if R0 > 1.
Optimum Radius Size between Cylindrical Ion Trap and Quadrupole Ion Trap
( Sarkhosh Seddighi Chaharborj ),( Seyyed Mahmod Sadat Kiai ),( Norihan Md Arifin ),( Yousof Gheisari ) 한국질량분석학회 2015 Mass spectrometry letters Vol.6 No.3
Quadrupole ion trap mass analyzer with a simplified geometry, namely, the cylindrical ion trap (CIT), has been shown to be well-suited using in miniature mass spectrometry and even in mass spectrometer arrays. Computation of stability regions is of particular importance in designing and assembling an ion trap. However, solving CIT equations are rather more difficult and complex than QIT equations, so, analytical and matrix methods have been widely used to calculate the stability regions. In this article we present the results of numerical simulations of the physical properties and the fractional mass resolutions m/△m of the confined ions in the first stability region was analyzed by the fifth order Runge-Kutta method (RKM5) at the optimum radius size for both ion traps. Because of similarity the both results, having determining the optimum radius, we can make much easier to design CIT. Also, the simulated results has been performed a high precision in the resolution of trapped ions at the optimum radius size.
Applications of Stochastic Process in the Quadrupole Ion traps
( Sarkhosh Seddighi Chaharborj ),( Seyyed Mahmod Sadat Kiai ),( Norihan Md Arifina ),( Yousof Gheisari ) 한국질량분석학회 2015 Mass spectrometry letters Vol.6 No.4
The Brownian motion or Wiener process, as the physical model of the stochastic procedure, is observed as an indexed collection random variables. Stochastic procedure are quite influential on the confinement potential fluctuation in the quadrupole ion trap (QIT). Such effect is investigated for a high fractional mass resolution △m/m spectrometry. A stochastic procedure like the Wiener or Brownian processes are potentially used in quadrupole ion traps (QIT). Issue examined are the stability diagrams for noise coefficient, n=0.07;0.14;0.28 as well as ion trajectories in real time for noise coefficient,n=0.14 The simulated results have been obtained with a high precision for the resolution of trapped ions. Furthermore, in the lower mass range, the impulse voltage including the stochastic potential can be considered quite suitable for the quadrupole ion trap with a higher mass resolution.
Optimum Radius Size between Cylindrical Ion Trap and Quadrupole Ion Trap
Chaharborj, Sarkhosh Seddighi,Kiai, Seyyed Mahmod Sadat,Arifin, Norihan Md,Gheisari, Yousof Korean Society for Mass Spectrometry 2015 Mass spectrometry letters Vol.6 No.3
Quadrupole ion trap mass analyzer with a simplified geometry, namely, the cylindrical ion trap (CIT), has been shown to be well-suited using in miniature mass spectrometry and even in mass spectrometer arrays. Computation of stability regions is of particular importance in designing and assembling an ion trap. However, solving CIT equations are rather more difficult and complex than QIT equations, so, analytical and matrix methods have been widely used to calculate the stability regions. In this article we present the results of numerical simulations of the physical properties and the fractional mass resolutions m/Δm of the confined ions in the first stability region was analyzed by the fifth order Runge-Kutta method (RKM5) at the optimum radius size for both ion traps. Because of similarity the both results, having determining the optimum radius, we can make much easier to design CIT. Also, the simulated results has been performed a high precision in the resolution of trapped ions at the optimum radius size.
DISEASE TRANSMISSION MSEIR MODEL WITH INDIVIDUALS TRAVELING BETWEEN PATCHES i AND i + 1
Chaharborj, Sarkhosh Seddighi,Bakar, Mohd Rizam Abu,Ebadian, Alli The Korean Society for Computational and Applied M 2010 Journal of applied mathematics & informatics Vol.28 No.5
In this article we want to formulate a disease transmission model, MSEIR model, for a population with individuals travelling between patches i and i + 1 and we derive an explicit formula for the basic reproductive number, $R_0$, employing the spectral radius of the next generation operator. Also, in this article we show that a system of ordinary differential equations for this model has a unique disease-free equilibrium and it is locally asymptotically stable if $R_0$ < 1 and unstable if $R_0$ > 1.