Shiv Raj

Lovely Professional University

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Pankaj Kumar

Lovely Professional University

Urvi Oza

Dhirubhai Ambani Institute of Information and Communication Technology

Tridib Mazumdar

Syracuse University

Kent B. Monroe

University of Richmond

Jagdish N. Sheth

Emory University

Mohil Khimani

Dhirubhai Ambani Institute of Information and Communication Technology

M. Moorthi

Saveetha University

I. Sudha

Saveetha University

Kelash Kumar

Maimonides Medical Center

D. Venu

Kakatiya University

Cooperative Institutions

Dhirubhai Ambani Institute of Information and Communication Technology

Maimonides Medical Center

University of Illinois Urbana-Champaign

Saveetha University

Columbia University Irving Medical Center

Texas Health Dallas

Icahn School of Medicine at Mount Sinai

Wyckoff Heights Medical Center

Syracuse University

Whitman College

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MODELLING THE MULTITEAM PREY–PREDATOR DYNAMICS USING THE DELAY DIFFERENTIAL EQUATION

Malaysian Journal of Science (2023)

Shiv Raj Pankaj Kumar

In nature, many species form teams and move in herds from one place to another. This helps them in reducing the risk of predation. Time delay caused by the age structure, maturation period, and feeding time is a major factor in real-time prey–predator dynamics that result in periodic solutions and the bifurcation phenomenon. This study analysed the behaviour of teamed-up prey populations against predation by using a mathematical model. The following variables were considered: the prey population Pr1, the prey population Pr2, and the predator population Pr3. The interior equilibrium point was calculated. A local satiability analysis was performed to ensure a feasible interior equilibrium. The effect of the delay parameter on the dynamics was examined. A Hopf bifurcation was noted when the delay parameter crossed the critical value. Direction analysis was performed using the centre manifold theorem. The graphs of analytical results were plotted using MATLAB.

Equilibrium point

Center manifold

Dynamics

10.22452/mjs.vol42no1.5

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Generative Adversarial Network for Colorization of Mammograms

Lecture notes in electrical engineering (2022)

Mohil Khimani Shiv Raj Urvi Oza Pankaj Kumar

Colored

10.1007/978-981-19-5037-7_2

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Modelling the Effect of Toxin Producing Prey on Predator Population using Delay Differential Equations

Journal of Physics Conference Series (2022)

Pankaj Kumar Shiv Raj

Abstract A mathematical model is proposed to study the effect of toxin producing prey on predator population using delay differential equations. The associated state variables are Prey populations and predator populations. The assumption is that the toxicity released by prey population adversely affects the predator population. The feasible interior equilibrium is calculated. Hopf bifurcation is observed about the critical value of delay parameter. Analytical findings are supported using MATLAB simulation.

Delay differential equation

Population model

10.1088/1742-6596/2267/1/012077

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Modelling and analysis of prey-predator model involving predation of mature prey using delay differential equations

Numerical Algebra Control and Optimization (2021)

Pankaj Kumar Shiv Raj

<p style='text-indent:20px;'>In this paper, the modelling and analysis of prey-predator model involving predation of mature prey is done using DDE. Equilibrium points are calculated and stability analysis is performed about non-zero equilibrium point. Delay parameter destabilizes the system and triggers asymptotic stability when value of delay parameter is below the critical point. Hopf bifurcation is observed when the value of delay parameter crosses the critical point. Sensitivity analysis has also been performed to look into the effect of other parameters on the state variables. The numerical results are substantiated using MATLAB.</p>

Equilibrium point

Delay differential equation

10.3934/naco.2021035

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A novel accuracy analysis of coronary artery disease prediction using K-nearest neighbour (KNN) classifier over support vector machine

AIP conference proceedings (2024)

Shiv Raj I. Sudha Sathish Kumar Selvaperumal D. Venu M. Moorthi

Nearest neighbour

Margin classifier

10.1063/5.0229455

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A Young Heart With Coronary Dissection

Cureus (2022)

Kelash Kumar Amit Gulati FNU Poonam Shiv Raj

Chest pain is one of the common complaints encountered in clinical practice. Multiple diseases present as chest pain and often the etiology can be challenging to diagnose. Among the cardiac causes, coronary artery dissection is one of the life-threatening conditions and is often misdiagnosed as an acute coronary syndrome because of its similar presentation. In this case report, we will share a case of coronary artery dissection, which was initially managed as a non-ST-elevation myocardial infarction. We will share the modalities used to diagnose spontaneous coronary artery dissection and how the management differs between acute coronary syndrome and spontaneous coronary artery dissection.

Artery dissection

Etiology

Presentation (obstetrics)

10.7759/cureus.23880

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Models, theory, and methods

Sage eBooks (2011)

Kent B. Monroe Jagdish N. Sheth Tridib Mazumdar Shiv Raj Russell S. Winer

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