Trajectories of Random Quadratic Operators of the Random Mendelian Model of Heredity

It is considered random Mendelian model of heredity, when the random quadratic stochastic operators, which define this model, admit two values and Vii' where 0 :s; a :s; I, 0 :s; f3:S; 1. This paper provides a full description of the behaviour of random trajectories of random quadratic operators

Key Exchange in Elliptic Curve Cryptography Based on the Decomposition Problem

ABSTRACT In this paper, we presented a new key exchange method based on decomposition problem for elliptic curve cryptography. We showed that our key exchange method was not only an alternative method for designing keys in cryptography, but it also has improved security condition from the previous key exchange based on decomposition problem over noncommutative groups. We proposed elliptic an curve cryptography to be the new platform for our key exchange protocol and showed how it was implemented. The security of our protocol was based on discrete logarithm problem, which was not infeasible and strictly difficult to retrieve in elliptic curve cryptography without any prior knowledge. Keyword

Key exchange in elliptic curve cryptography based on the decomposition problem

In this paper, we presented a new key exchange method based on decomposition problem for elliptic curve cryptography. We showed that our key exchange method was not only an alternative method for designing keys in cryptography, but it also has improved security condition from the previous key exchange based on decomposition problem over non-commutative groups. We proposed elliptic an curve cryptography to be the new platform for our key exchange protocol and showed how it was implemented. The security of our protocol was based on discrete logarithm problem, which was not infeasible and strictly difficult to retrieve in elliptic curve cryptography without any prior knowledge

Geometric inequality of warped product semi-slant submanifolds of locally product Riemannian manifolds

In the present article, we derive an inequality in terms of slant immersions and well define warping function for the squared norm of second fundamental form for warped product semi-slant submanifold in a locally product Riemannian manifold. Moreover, the equality cases are verified and generalized the inequality for semi-invariant warped products in locally Riemannain product manifold

A compartmental model on the effect of quarantine on MDR-TB

This paper presents a five compartmental deterministic model to study the effect of quarantine in managing multidrug-resistant tuberculosis (MDR-TB). We established that the model exhibits two equilibria; disease free equilibrium (DFE) and endemic equilibrium point (EEP). The DFE was shown to be locally asymptotically stable when the basic reproduction number, R0 is less than unity (R0 < 1). The global stability of both the DFE and EEP were established with the aid of constructed Lyapunov functions. We proved that the model undergoes backward bifurcation, which gives direction to the medical experts that keeping the basic reproduction number less than unity (R0 < 1) is not enough to curtail the spread of the infection but rather think of other measures. The numerical simulation done gives a pictorial representation of the impact of quarantine in managing MDR-TB as it helps in reducing the disease incidence. © 2019, Badih/Ghusayni, Ed. & Pub

A New Optimal Homotopy Asymptotic Method for Fractional Optimal Control Problems

Solving fractional optimal control problems (FOCPs) with an approximate analytical method has been widely studied by many authors, but to guarantee the convergence of the series solution has been a challenge. We solved this by integrating the Galerkin method of optimization technique into the whole region of the governing equations for accurate optimal values of control-convergence parameters Cjs. The arbitrary-order derivative is in the conformable fractional derivative sense. We use Euler–Lagrange equation form of necessary optimality conditions for FOCPs, and the arising fractional differential equations (FDEs) are solved by optimal homotopy asymptotic method (OHAM). The OHAM technique speedily provides the convergent approximate analytical solution as the arbitrary order derivative approaches 1. The convergence of the method is discussed, and its effectiveness is verified by some illustrative test examples

Characterizations of contact CR-warped product submanifolds of nearly Sasakian manifolds

© Balkan Society of Geometers, Geometry Balkan Press 2016.In this paper, we study warped product contact CR-submanifolds of a nearly Sasakian manifold. We work out the characterizations in terms of tensor fields under which a contact CR-submanifold of a nearly Sasakian manifold reduces to a warped product submanifol

Sentiment analysis approach towards public opinion on sensitive issues via social media: A way of crisis management control

Online media is one of the tools of public opinion formation where social media users immediately express their thoughts and perception towards an issue. The process of public opinion formation is described from the start of one's perception, and it depends on the cultural background, past experiences and values. These factors determined one's supporting or opposing an issue. The main objective of this study is to determine the correlations between sensitive issues with negative sentiment builds up among the public. This quantitative content analysis study investigated the influence and relevance of information sources on the distribution of public opinion. There were 4 parameters measured as independent variables, mainly independent sources, conventional sources to the dependent variable, public opinion. The monitoring bodies and regulators utilise the research results in handling sensitive issues in Malaysia. © 2020 Primrose Hall Publishing Group

Some inequalities for warped product pseudo-slant submanifolds of nearly Kenmotsu manifolds

In this paper, we study non-trivial warped product pseudo-slant submanifolds of nearly Kenmotsu manifolds. In the beginning, we obtain some lemmas and then develop the general sharp inequalities for mixed totally geodesic warped products pseudo-slant submanifolds. The equality cases are also considered

On partially topological groups: Extension closed properties

The partially (para)topological groups were defined in [9]. In this paper, we give more results in partially topological groups in the sense of H. Delfs and M. Knebusch and we prove extension closed property for connectedness, compactness, and separability of partially topological groups