In this COVID-19 crucial stage, cryptographic developments help to convey secret information inside the
digital telemedicine frameworks. The novel corona virus had broken all configurations of our life. In the
clinical medical sciences, patients are encouraged to select the remote based telemedicine services.
Cardiac patients are especially defenseless to this COVID-19. Patients having Chronic Obstructive
Pulmonary Diseases (COPDs) as co-morbidity are enthusiastically prescribed to remain protected at their
remote isolations. Through such telecardiology, they might impart their basic data with various
cardiovascular experts. This will diminish their odds of getting COVID-19 positive because of no actual
developments outside homes. Patients experiencing such significant COPDs are to be analyzed and
treated appropriately via cardiologists. Contemporary imperfections on patients’ private data are an open
challenge in such telecardiology. Electronic cardiac data are very much vulnerable in nature. Along these
lines, it is exceptionally critical to force a high level security strategy in such COVID-19 telecardiology.
In this paper, we have generated session key based on unsynchronized artificial neural networks and
genetic algorithm. Two unsynchronized ANNs were considered to have two intermediate keys. These
keys were genetically crossover to form the session key. Furthermore, that session key would e used in
the secret share generation process. Entropy values observed with respect to the secret share were nearly
closed to eight. Histogram, floating frequency, and autocorrelation, etc were generated by the proposed
technique with well-distributed in shapes. The functional time in the form of encryption and decryption
were evaluated in this paper for different secret shares. Patients’ medical data are very much under severe
risk of intrusion. Lastly, secret shares were transmitted through RSA. This framework acts against various
security conducts in correspondence network particularly where online clinical exchanges have
overflowed colossally in this COVID-19 period.
Keywords:COVID-19 telecardiology, Unsynchronized ANN, Session Key, Secret Sharing, Functional
time
We present and explore a novel mathematical treatment model of the epidemiology of Lassa Fever (LF).
The model is a system of nonlinear ordinary differential equation model for rodent and human
population. We analyzed the model to find the stability of the disease-free equilibrium and test which
model parameters affect this stability most significantly. The purpose of this paper is to investigate the
impact of treatment on the control of LF. The analysis revealed that treatment rate of humans will have
a positive impact in reducing the burden of LF in the population. Our model predicts that treatment
control can reduce the population level transmission by up to 12% alone without existing interventions.
Therefore, treatment has significant effect on LF transmission, but it may not be able to eliminate the
disease unless a multiple control strategy is adopted. Finally, some numerical simulations were carried
out to support our theoretical results.
Keywords:Lassa fever; Modelling; Treatment; Stability
1Department of Mathematics
Dicle University, Diyarbakır, Turkey
Email: [email protected]
2Department of Mathematics
Dicle University, Diyarbakır, Turkey
Email: [email protected]
Page Number: 167-182
In this paper, we consider a logarithmic viscoelastic plate equation with a delay term in a bounded
domain. Under suitable conditions, we establish the blow-up of solutions in a finite time. Time delays
often seem in thermal, economic phenomena, biological, chemical, physical, electrical engineering
systems, mechanical applications and medicine.
Keywords:Blow-up, delay, logarithmic nonlinearity, viscoelastic plate equation.
1Departamento de Matematica de la Facultad de Ciencias Exactas
Universidad Nacional de La Plata, LaPlata -1900. Argentina
2Departmento de CienciasBasicasde la Facultad de Ingenieria
Universidad Nacional de La Plata -1900. Argentina
Email: [email protected]
Page Number: 183-196
It will be shown that to recover the initial condition and finding the solution of a parabolic equation with
Cauchy conditions can be solved in two steps writing the parabolic equation as an integral equation,
which can be solved numerically applying the techniques of inverse generalized moments problem. In a
first step, the initial condition is found in approximate form, and in a second step we numerically
approximate the solution of the parabolic equation using the initial condition found.
The method is illustrated with examples.
Keywords:parabolic equation, integral equations, generalized moment problem, inverse problem.
In this paper we extend and generalize the classical Banach’s contraction principle and Edelstein’s
contraction theorem on a Revised fuzzy metric spaces endowed with a binary relation
Keywords:Contraction mappings, complete revised fuzzy metric spaces, compact revised fuzzy metric
spaces, binary relation, fixed point.
Transportation of heavy crude oil through closed pipelines is a challenging issue both in offshore and in
land oil transportation. The scope of the present paper deals with the computational modelling of two
phase extra heavy crude oil & water flow in OpenFOAM. In order to validate the flow model the pressure
variation along the length of the channel are investigated, which shows the typical plot of two roughly
constant pressure lines at different levels connected by a sharp change of pressure at the interface of two
fluids. The validated flow model, aims at optimizing the kinematic viscosity of the multiphase flow, by
regulating the flow velocity of the components, such that there is minimum viscous heat loss and hence
minimum pump power consumption from the horizontal centrifugal pumping system.Using the
OpenFOAM(Open Source Field Operation & Manipulation) software, which is free opensource software,
developed in 2004, under GNU general public license, paraview has been used here as post processing
tool. Multiphase flow simulation is done using the k- turbulence model in HPC of kanchenjungha
cluster, NIT Sikkim, India.
Keywords:Multiphase flow, Kinematic Viscosity, Pressure, OpenFOAM
Professor and Registrar
Lakshmi Narayan College of Technology, Indore (M.P.) INDIA
Email: [email protected]
Page Number: 218-224
In the present article, proved a common fixed point theorem in fuzzy metric space using property E.A. for
a pair of weakly compatible maps.
Keywords:Primary 54H25, Secondary 47H10.
This work focus on steady two-dimensional boundary layer flow and heat transfer of sisko nanofluid
over non-linear sheet with section and injection. The governing mathematical equation incorporate the
influence of Brownian number, Prandtl number, power law and thermophoresis parameter.. Suitable
similarity transformation is used to reduce the equation to non-linear ordinary differential equation
and solved using Adomian decomposition method (ADM). The result obtained shows thermophoresis
number, power law and Prandtl parameter has a positive effect in temperature while thermophoresis
number, Brownian number and Prandtl number has no effect on nano concentration profile.
Keywords:Heat, Linear, Fluid, Differential, Injection, Prandtl.
1Department of Mathematics
Dicle University, Diyarbakır, Turkey
Email: [email protected]
2Department of Mathematics
Dicle University, Diyarbakır, Turkey
Email: [email protected]
Page Number: 234-246
In this paper, we deal with a delayed Kirchhoff-type viscoelastic equation. Under suitable conditions, we
establish the growth of solution.
Keywords:Distributed delay, growth, Kirchhoff-type, viscoelastic equation.
