• Journal of applied mathematics & informatics
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• 제29권3_4호
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• pp.529-546
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• 2011

A deterministic tuberculosis model for theoretically assessing the potential impact of the combined effects of case detection in the presence of treatment is formulated. The qualitative features of its equilibria are analyzed and it is found that the disease-free equilibrium may not be globally asymptotically stable when the reproduction number is less than unity. This disease threshold number is further used to assess the impact of active TB case finding alone and in conjunction with treatment. A critical threshold parameter ${\Theta}$ say for which case detection will have a positive impact is derived. Using the Centre Manifold theory, the model may exhibit the phenomenon of backward bifurcation (coexistence of a locally stable endemic equilibrium with a stable disease-free equilibrium) when the reproduction number is less than unity. It is shown that the possibility of backward bifurcation occurring decreases with increase case detection. Graphical representations suggest that increase in case finding accompanied by treatment of detected TB cases, result in a marked decrease of TB cases (both latent and active TB).

• The Journal of Asian Finance, Economics and Business
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• 제7권11호
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• pp.759-768
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• 2020

The purpose of this study is to assess the state of competition in Nepalese banking over the period from 2010 to 2019. This study employs panel data and a non-structural Panzar-Rosse model to measure the degree of competition in the Nepalese banking industry. The first reduced-form equation is applied to gauge competition, and the second model is used to test the long-run equilibrium in the banking market. The finding reveals that the Nepalese banking market is equilibrium in the long-run. It implies that the factor prices do not affect ROA in the long-run. The result of the H-statistic shows that the Nepalese banking system is operating under the state of perfect competition and is shifted from monopolistic competition to perfect competition. The reduced-form model reveals that the interest income is positive and significantly affected by factor prices. Similarly, the macroeconomic variable GDP growth is positively related to interest income. On the contrary, the bank's specific factors risk and the number of bank branches are inversely associated with the regressand. The outcomes of the study may be advantageous to the policymakers, especially to Nepal Rastra Bank to implement monetary policy and M&A policy for the stability and growth of the financial system of Nepal.

• The Journal of Asian Finance, Economics and Business
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• 제9권6호
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• pp.245-252
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• 2022

This study examines the strength of the impact of fiscal policy tools on economic wellbeing as measured by per capita income in Malaysia from 1996 to 2020. The impact of fiscal policy instruments on economic wellness, represented by real income per capita, is measured using the autoregressive distributed lags model. The speed of adjustment from short-run disequilibrium to long-run equilibrium is also measured to assess the strength of the fiscal instruments' impact on per capita income. Empirical results exhibit the existence of co-integration relationships between per capita income, tax revenue, and government spending. The findings provide strong support for the presence of a long-run positive impact on government spending and a long-run negative impact of tax revenue on per capita income. The coefficient of ECT_t-1 indicates that deviations from a short-run disequilibrium to a long-run equilibrium from the current to the future period are corrected with a speed of 76% (equivalent to a duration of 1.5-2 years to return to equilibrium). The practical and policy implication of the results is fiscal instruments play a significant role, mainly in alleviating the economic impact of the COVID-19 pandemic in the long run.

• Journal of applied mathematics & informatics
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• 제29권5_6호
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• pp.1193-1204
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• 2011

In the present paper we consider a differential-algebraic prey-predator model with stage structure for prey and harvesting of predator species. Stability and instability of the equilibrium points are discussed and it is observed that the model exhibits a singular induced bifurcation when the economic profit is zero. It indicates that the zero economic profit brings impulse, i.e. rapid expansion of the population and the system collapses. For the purpose of stabilizing the system around the positive equilibrium, a state feedback controller is designed. Finally, numerical simulations are given to show the consistency with theoretical analysis.

• 수산경영론집
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• 제43권2호
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• pp.1-14
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• 2012

The main purpose of this study is to analyze the effect of Korea-China free trade agreement(FTA) on Korea's fisheries trade using the partial equilibrium analysis model of Feenstra(1995). The study tries to show the impact on trade flows and welfare of the elimination of tariffs Korea-China FTA on Korea's fisheries sector among several scenarios of trade liberalization. The results of the study indicate that the increase of fisheries export to China is lower than that of fisheries import from China. Therefore Korea-China FTA results in the decrease of domestic of fisheries production even though total welfare effect is positive. The study suggest several policy proposals for soft-landing of Korea-China FTA on Korea's fisheries sector. One of them is to lengthen the term of tariff elimination to minimize the impact on domestic fisheries sectors.

• Structural Engineering and Mechanics
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• 제15권4호
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• pp.395-414
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• 2003

In this paper we recall briefly the constitutive equations for solids subjected to thermal strain taking in account the bounded tensile stress of the material. In view to solve the equilibrium problem via the finite element method using the Newton Raphson procedure, we show that the tangent elasticity tensor is semi-definite positive. Therefore, in order to obtain a convergent numerical method, the constitutive equation needs to be modified. Specifically, the dependency of the stress by the anelastic deformation is made explicit by means of a parameter ${\delta}$, varying from 0 to 1, that factorizes the elastic tensor. This parameterization, for ${\delta}$ near to 0, assures the positiveness of the tangent elasticity tensor and enforces the convergence of the numerical method. Some numerical examples are illustrated.

• 대한화학회지
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• 제23권4호
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• pp.187-197
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• 1979

ChIoroform과 chloroethanol 혼합용매속에서 Poly(cis-5-methylproIine)의 광회전을 측정하였다. 이 혼합용매속에 chloroethanol이 0.5∼10부피%일때 형태 A와 B사이에는 평형상태가 이루어졌다. 광회전을 이용하여 5, 25 및 45$^{circ}$C에서 평형정수를 측정하고 자유엔탈피, 엔탈피 및 엔트로피 변화를 계산하였다. 같은 몰수의 형태 A와 B에서 출발하면 chloroethanol이 3부피% 이상일때는 정방향 변광회전이 일어나고 이하일때는 역방향 회전이 일어났다. 엔탈피와 엔트로피 변화는 정방향 변광회전일때는 양수이고 역방향 변광회전일 때는 음수였다. 반응 추진역은 정방향 회전일때는 엔트로피의 증가이고 역방향 회전일때는 엔탈피의 감소였다. 측정된 열역학적 자료들은 폴리머와 용매사이의 상호작용 즉 용매중의 chloroethanol이 형태 B분자내의 카보닐기와 선택적으로 수소결합을 형성하며, 형태 A와 B의 헝태 에너지 차이에 있다는것을 설명한다

• Journal of applied mathematics & informatics
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• 제26권1_2호
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• pp.275-282
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• 2008

Our aim in this paper is to investigate the global attractivity of the recursive sequence $x_{n+1}$ = $\frac{\alpha-{\beta}x_{n-1}}{\gamma+g(x_n)}$ under specified conditions. We show that the positive (or zero for $\alpha$ = 0) equilibrium point of the equation is a global attractor with a basin that depends on certain conditions posed on the coefficients and the function g(x).

• 한국경영과학회지
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• 제12권1호
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• pp.10-18
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• 1987

This paper discusses algorithmic properties of a class of complementarity programs involving strictly diagonally isotone and off-diagonally isotone functions, i. e., functions whose Jacobian matrices have positive diagonal elements and nonnegative off-diagonal elements, A typical traffic equilibrium under elastic demands is cast into this class. Algorithmic properties of these complementarity problems, when a Jacobi-type iteration is applied, are investigated. It is shown that with a properly chosen starting point the generated sequence are decomposed into two converging monotonic subsequences. This and related will be useful in developing solution procedures for this class of complementarity problems.

• 한국경영과학회지
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• 제1권1호
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• pp.147-150
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• 1976

Optimal stopping problem without recall from a multivariate distribution is solved by using the concept of an equilibrium point which was introduced by J. Nash. The solution is derived for the two cases: 1. The case where the observation cost C is positive and the given upper bound K on the number of observations is infinite. 2. The case where the observation cost C is zero and the given upper bound K on the number of observations is finite.