iosr-Jm   Volume-17 ~ Issue-3 ~ May – June 2021

Abstract: This paper aims to analyse the dynamical behaviour of eco-epidemiological prey predator population model (SI) giving stage structure for the predator and categorizing the prey as susceptible and infectious entity. The adult predator follows Michaelis Menten Holling type II response function while the prey takes refuge. The disease is transmitted following linear incidence rate. Existence, uniqueness and boundedness of the solution for the model are investigated. The equilibrium points are found out and the local stability analysis is carried out using Routh-Hurwitz criterion. The analytical results are verified through numerical simulation with help of MATLAB.

Key words: Michaelis Menten Holling Type, stage structure, prey refuge, local stability

[1]. Abdulghafour, A., & Naji, R. (2018). A Study of a Diseased Prey-Predator Model with Refuge in Prey and Harvesting from Predator. Journal Of Applied Mathematics, 2018, 1-17. https://doi.org/10.1155/2018/2952791
[2]. Banerjee, M., Kooi, B., & Venturino, E. (2017). An Ecoepidemic Model with Prey Herd Behavior and Predator Feeding Saturation Response on Both Healthy and Diseased Prey. Mathematical Modelling Of Natural Phenomena, 12(2), 133-161. https://doi.org/10.1051/mmnp/201712208
[3]. Chauhan, S., & Misra, O. (2012). Modeling and Analysis of a Single Species Population with Viral Infection in Polluted Environment. Applied Mathematics, 03(06), 662-672. https://doi.org/10.4236/am.2012.36100
[4]. Dai, Y., Lin, Y., & Zhao, H. (2014). Hopf Bifurcation and Global Periodic Solutions in a Predator-Prey System with Michaelis-Menten Type Functional Response and Two Delays. Abstract And Applied Analysis, 2014, 1-16. https://doi.org/10.1155/2014/835310
[5]. Kafi, E. (2020). THE LOCAL BIFURCATION OF AN ECO-EPIDEMIOLOGICAL MODEL IN THE PRESENCE OF STAGE-STRUCTURED WITH REFUGE. Iraqi Journal Of Science, 2087-2105. https://doi.org/10.24996/ijs.2020.61.8.24

Abstract: In this paper, the discrete–time periodic static output feedback control design problem is considered. A hybrid conjugate gradient methods are analyzed and studied to tackle an equivalent optimization problem of this optimal control problem. Finally, the proposed algorithms are tested numerically through several test problems from the benchmark collection..

Key words: Output feedback control, Discrete-time periodic system, Hybrid conjugate gradient methods

[1]. F.A. Aliev and V.B. Larin, Optimization problems for periodic systems, International Applied Mechanics, 45 (2009), 1162–4511
[2]. N. Andrei, Hybrid conjugate gradient algorithm for unconstrained optimization. J. Optim. Theory Appl., 141(2) (2009), 249–264.
[3]. S. Bittanti and P. Colaneri.(2009) Periodic Systems Filtering and Control, Springer, Verlag London Limited.
[4]. P. Colaneri. Periodic control systems: Theoretical aspects, Applied and computational mathematics, 3:2 (2004), 84–-94.
[5]. Y. Chen, Global convergence of a new conjugate gradient method with wolfe type line search, Journal of Information and Computing Science, 7 (2012), 067–071.

Abstract: Background: Hypertension is the most common modifiable risk factor for cardiovascular diseases, stroke and renal failure. Poor adherence to antihypertensive medication has lead to increase in uncontrolled hypertension. Various socio-demographic and health system related factors has contributed to this low adherence towards antihypertensive medication. Studying the prevalence of adherence to antihypertensive drugs and its determinants, and adopting methods to promote medication adherence will help to improve the treatment outcomes. Hence this study aims to find out the adherence to antihypertensive drugs and identify the social and health system related determinants......

Key-words: Adherence; Determinants; Adult; Antihypertensive Drugs; Kerala; South India

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Abstract: This study aims at dealing with continuous time Markov chain model application on the fault time of two machines (Mill troup -Boiler), important machine in Asalaya Sugar Factory in season (January/2019–
Decmber/2019), which affiliated to Sudanese Sugar Company.The study conduces that the failure time of machines follows Exponential distribution estimation fault distribution.Failure time represent transition matrix in the Continuous time Markov chain. The probability of the machine in operating state is greater than the probability of the machine in a fail state.The high probability of the machine in operating state and the mean time of a machine stay estimated by 4 hours in state (1) (operating state) meanwhile the machine stay in state (0) (fail state) estimated by one hour which indicates the efficiency of the maintenance unit, it is clear that, the probability of available time to repair machines when it fault approximately (0.80), this indicates that the machines has high availability.

Keywords: Continuous time Markov chain, Generator Matrix, Repairable Machine, Availability

[1]. Hussein Nassreldeen Eltahir, Khalid Rahamtalla Khedir, Mohammedelameen Eissa Qurashi (2020). "Markov chains model to estimate the transition operational status probabilities for machines in Asalaya Sugar Company." IOSR Journal of Mathematics (IOSR-JM), 16(6), pp. 06-13. https://doi.org: 10.9790/5728-1606040613
[2]. Rabta, B., van den Boom, B. and Molini , V. (2016), A Continuous-time Markov Chain Approach for Modeling of Poverty Dynamics: Application to Mozambique, African Development Review, 28: 482495.
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[4]. Chen, Y. and J. Chen (2011), 'On the Imbedding Problem for Three-State Time Homogeneous Markov Chains with Coinciding Negative Eigenvalues', Journal of Theoretical Probability, Vol. 24, No. 4, pp. 928–38. https://doi.org/:10.1007/s10959-010-0316-5
[5]. Lotfi, T.(2011) Replacement Models with Minimal Repair, London: Springer-Verlag

Abstract: A topological space.....

Keywords: Epiregular....

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Abstract: Autoscaling in Cloud Computing is the activity of expanding or diminishing the cloud computational resources like storage, compute, and network services to meet the workload demands. When designed and overseen appropriately, the essential advantage of autoscaling is that the workload (user-requests) gets precisely the cloud computational resources it requires at any random time. A study of auto-scaling architectures, existing techniques, and open issues provides a comprehensive understanding to identify future research solutions. Several methods were proposed for mathematical......

Keywords: Mathematical Models, Cloud Computing, Autoscaling, Process Model-Based Design

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