shanmukha
Verified @gmail.com
Assistant Professor, Department of Mathematics, GMIT Davangere
GMIT, Davangere
RESEARCH INTERESTS
Differential Geometry
Scopus Publications
Scholar Citations
Scholar h-index
Scholar i10-index
Scopus Publications
B. Shanmukha and V. Venkatesha
Walter de Gruyter GmbH
Abstract In this paper, we study M-projective curvature tensors on an ( LCS ) 2 n + 1 {(\\mathrm{LCS})_{2n+1}} -manifold. Here we study M-projectively Ricci symmetric and M-projectively flat admitting spacetime.
B. Shanmukha and V. Venkatesha
Springer Science and Business Media LLC
In the present frame work, we study the properties of $$\\eta$$ η -Ricci soliton on Kenmotsu manifold and also analysed the generalized gradient Ricci soliton equation satisfying some conditions.
V. Venkatesha and Shanmukha Basavarajappa
The object of the present paper is to study some geometric conditions for an invariant submanifold of an LP-Sasakian manifold to be totally geodesic. Further we consider concircular curvature tensor satisfying some geometric conditions of an invariant submanifold of an LP-Sasakian manifold to be totally geodesic. In extension, we build an example of LP-Sasakian manifold to verify our main result totally geodesic.
K. Vidyalakshmi, M.Siddappa and B.Shanmukha
Blue Eyes Intelligence Engineering and Sciences Engineering and Sciences Publication - BEIESP
Under water acoustic sensor network is the unique case of wireless sensor network in which the physical characteristics limits the capability of sensor network due to various problems like Doppler-spreads, medium significnt delay, Double-side spreading, limited bandwidth and frequencyselective fading. Ensuring QOS is very challenging problem in acoustic sensor networks. In this work, a QOS centric hybrid routing protocol with consideration of fault resilience is proposed. The solution use the parameters of the network at all Application Layer, Network Layer, MAC Layer, and PHY Layer, which are the different layers of IEEE 802.15.4 protocol stack, thus calculating Node selection score which helps in identifying the best forwarding node for a constrained reliable data transmission. The solution involves dynamic link quality estimation, congestion awareness, packet injection ratio estimation and physical switching that cumulatively ensures fault-resilient and QoS delivery over acoustic sensor network.
Vidyalakshmi. K, M. Siddappa, and B. Shanmukha
IEEE
Under water sensor network finds lot of applications in sea environment monitoring. Tsunami like conditions can be monitored and reported earlier so that people on shores can be safe. Due to nature of medium, the data delivery ratio in under water sensor networks is very low. The various problems in the underwater sensor networks are medium significant delay, Double-side-spreading, Doppler- spreads, frequency-selective fading and limited bandwidth. These problems reduce the data delivery ratio. In this work hybrid cross layer method with mechanisms in physical, data link and routing layer are proposed to increase the reliability of underwater wireless sensor networks.
Naba Kumar Goswami, Akhil Kumar Srivastav, Mini Ghosh, and B Shanmukha
IOP Publishing
The Zika virus was first discovered in a rhesus monkey in the Zika Forest of Uganda in 1947, and it was isolated from humans in Nigeria in 1952. Zika virus disease is primarily a mosquito-borne disease, which is transmitted to human primarily through the bite of an infected Aedes species mosquito. However, there is documented evidence of sexual transmission of this disease too. In this paper, a nonlinear mathematical model for Zika virus by considering nonlinear incidence is formulated and analyzed. The equilibria and the basic reproduction number (R0) of the model are found. The stability of the different equilibria of the model is discussed in detail. When the basic reproduction number R0 1, we have endemic equilibrium which is locally stable under some restriction on parameters. Further this model is extended to optimal control model and is analyzed by using Pontryagin's Maximum Principle. It has been observed that optimal control plays a significant role in reducing the number of zika infectives. Finally, numerical simulation is performed to illustrate the analytical findings.