Mathematical Journal of Interdisciplinary Sciences
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Stability Analysis of Integrated Pest Management with Impulsive Biological Control
Get PDFThe aim of the present work is to study the dynamics of stage-structured pest control model including biological control, i.e. by releasing of natural enemies and infected pests periodically. It is assumed that only immature susceptible pests are attacked by natural enemies admitting Beddington DeAngelis functional response and mature susceptible pests are contacted by infected pests with bilinear incidence rate and become exposed. The sufficient condition for local stability of pest extinction periodic solution is derived by making use of Floquet’s theory and small amplitude perturbation technique. The global attractivity of pest extinction periodic solution is also established by applying comparison principle of impulsive differential equations
Mahgoub Deterioration Method and its Application in Solving Duo-combination of Nonlinear PDE’s
Get PDFThis paper aims to solve Duo-combination of non linear partial differential equations by a latest approach called Mahgoub deterioration method (MDM). The latest technique is mix of the Mahgoub transform furthermore the, Adomian deterioration method. The generalized solution has been proved. Mahgoub deterioration method (MDM) is a very successful tool for finding the correct solution of linear and non linear partial differential equations. The continuance and uniqueness of solution is based on MDM
Mathematical Model for Impact of Media on Cleanliness Drive in India
Get PDFA mathematical model on cleanliness drive in India is analysed for active cleaners and passive cleaners. Cleanliness and endemic equilibrium points are found. Local and global stability of these equilibrium points are discussed using Routh-Hurwitz criteria and Lyapunov function respectively. Impact of media (as a control) is studied on passive cleaners to become active. Numerical simulation of the model is carried out which indicates that with the help of media transfer rate to active cleaners from passive cleaners is higher
Homotopy Analysis Approach of Boussinesq Equation for Infiltration Phenomenon in Unsaturated Porous Medium.
Get PDFoai:ojs.pkp.sfu.ca:article/11Boussinesq’s equation is one-dimensional nonlinear partial differential equation which represents the infiltration phenomenon. This equation is frequently used to study the infiltration phenomenon in unsaturated porous medium. Infiltration is the process in which the groundwater of the water reservoir has entered in the unsaturated soil through vertical permeable wall. An approximate analytical solution of nonlinear partial differential equation is presented by homotopy analysis method. The convergence of homotopy analysis solution is discussed by choosing proper value of convergence control parameter. The solution represents the height of free surface of infiltrated water
More on R-Union and R-Intersection of Neutrosophic Soft Cubic Set
Get PDFR-unions and R-intersections, R-OR, R-AND of Neutrosophic soft cubic sets are introduced and related properties are investigated. We show that the R-union (R-intersection) of internal neutrosophic soft cubic set is also an internal neutrosophic soft cubic set. We show that the R-union and the R-intersection T-external (I-external, F-external) neutrosophic soft cubic sets are also T-external ( I-external, F-external) neutrosophic soft cubic sets. The conditions for the R-intersection of two cubic soft sets to be both an external neutrosophic soft cubic set and an internal neutrosophic soft cubic set. Further we provide a condition for the R- intersection and R union of two T-internal (I-internal, F-internal) neutrosophic soft cubic sets are T-external (I-external, F-external) neutrosophic soft cubic sets
Exponentially Weighted Moving Average (EWMA) Chart Based on Six Delta Initiatives
Get PDFA control chart is a graphical device for representation of the data for knowing the extent of variations from the expected standard. The technique of control chart was suggested by W.A. Shewhart of Bell Telephone Company based on three sigma limits. M. Harry, the engineer of Motorola has introduced the concept of six sigma in 1980. In six sigma initiatives, it is expected to produce 3.4 or less number of defects per million of opportunities. Moderate distribution proposed by Naik and Desai is a sound alternative of normal distribution, which has mean and mean deviation as pivotal parameters and which has properties similar to normal distribution. Naik and Tailor have developed various control charts based on this distribution. In this paper an attempt is made to construct a control chart based on six delta initiatives for exponentially weighted moving average chart. Suitable Table for mean deviation is also constructed and presented for the engineers for making quick decisions
Approximate Analytical Solution of Advection-Dispersion Equation By Means of OHAM.
Get PDFThis work deals with the analytical solution of advection dispersion equation arising in solute transport along unsteady groundwater flow in finite aquifer. A time dependent input source concentration is considered at the origin of the aquifer and it is assumed that the concentration gradient is zero at the other end of the aquifer. The optimal homotopy analysis method (OHAM) is used to obtain numerical and graphical representation
Analysis of HIV Model by KTADM
Get PDFThis manuscript presents a procedure in the direction of get the emulsion of dynamic pattern in place of HIV infection of CD4+T cells. Intended for methodical mix of non linear differential equation, we are by Kamal Transform Adomian Decomposition Method (KTADM). This procedure gives consistent as a consequence effectual suspension of HIV model
Absolute Mean Graceful Labeling in Path Union of Various Graphs
Get PDFPresent paper aims to focus on absolute mean graceful labeling in path union of various graphs. We proved path union of graphs like tree, path Pn, cycle Cn, complete bipartite graph Km, n, grid graph PM × Pn, step grid graph Stn and double step grid graph DStn are absolute mean graceful graphs
Probability Models For Explaining Migration Process From Eastern Uttar Pradesh, India
Get PDFThis paper aims to examine the pattern of male out-migration and explains the distribution of households according to number of male migrants aged fifteen and above. The suitability of proposed model is tested with primary data collected from remote and semi-urban areas of Varanasi, 2012. Findings highlight that the average number of clusters from the remote households is higher and the average number of individuals per clusters is lower in comparison to the semi-urban villages. The average number of migrants per household has increased with increasing size of households in the remote as well as in semi-urban villages. The average number of migrants per household is higher among upper caste followed by middle caste, Muslims and scheduled caste from the study area. Average number of migrants per household has increased over six times in the low economic status of the households. In the medium and high economic status of the households, average number of migrants per household is found to be around three and two times more respectively, over the last three decades. The increasing average number of migrants per household portray that an increasing propensity of adult male migration from the study area. Over 2.7 times increase in the average number of migrants per household may be primarily due to increasing man-land ratio in the absence of relative growth in employment opportunities. Thus, the existing imbalances in demand and supply of gainful employment opportunities in the region may be the key to continuously increasing the number of migrants per households from the region