Browsing Department of Mathematics by Issue Date

Now showing items 1-20 of 577

Effect of changing habitat on survival of species

Dubey, Balram (Elsevier, 1996)

In this paper, a mathematical model is proposed to study the growth and existence (survival) of resource-biomass-dependent species in a forested habitat which is being depleted due to the pressure of industrialization ...
Simultaneous effect of two toxicants on biological species: a mathematical model

Dubey, Balram (World Scientific, 1996)

In this paper, a mathematical model to study the simultaneous effect of two toxicants (one is more toxic than the other) on the growth and survival of a biological species is proposed. The cases of instantaneous spill, ...
Effect of changing habitat on species: Application to Keoladeo National Park, India, Ecol. Model.

Dubey, Balram (Elsevier, 1996-04)

In this paper, a mathematical model is proposed to study the effect of ecological changes caused by the excessive growth of wild grasses such as Paspalum distichum on the existence of various species in the Keoladeo National ...
Effect of environmentally degraded soil on crop yield: The role of conservation, Ecol. Model., 86: 235-240, 1996.

Dubey, Balram (Elsevier, 1996-05)

In this paper the effect of fertile top soil degraded by environmental factors such as acid rain and wind on crop yield is studied by considering a single-sector economic growth model. It is shown that if these environmental ...
Modelling the depletion of forestry resources: Effects of two interacting populations

Dubey, Balram (Elsevier, 1997-08)

In this paper, a general mathematical model to study the effects of two interacting populations on the depletion of resources is proposed and analysed. In modelling the system, it is assumed that the resource is a common ...
Modelling the depletion and conservation of forestry resources: effects of population and pollution

Dubey, Balram (Springer, 1997-11)

In this paper, a mathematical model is proposed to study the depletion of resources in a forest habitat due to the increase of both population and pollution. It is shown that if the rate of pollutant emission into the ...
Models for the Survival of Species Dependent on Resource in Industrial Environments

Dubey, Balram (Elsevier, 1999-03)

In this paper, a mathematical model to study the survival of species dependent on a resource under the industrialization pressure in a given region with diffusion is proposed and analyzed. In the absence of diffusion, ...
Analytical investigation of the hydromagnetic flow in a porous medium due to periodically heated oscillating plate

Sharma, Bhupendra Kumar (International Journal of Applied Mechanics and Engineering, 2000)

The Stokes second problem in the presence of a magnetic field in a porous medium is considered. The flow is due to an oscillating plate at the bottom of the porous medium of finite thickness and fully saturated with ...
Effects of Toxicants (pollutants) on a Biological Species — Some Mathematical Models

Dubey, Balram (Springer, 2000)

It is well recognized that the deterioration of our environment by various kinds of industrial discharges (toxic effluents, pollutants) to the environment has very undesirable consequences on all living beings including ...
A model for the allelopathic effect on two competing species

Dubey, Balram (Elsevier, 2000-05)

In this paper, a mathematical model is proposed and analysed to study the coexistence of two competing plant species in a finite habitat by assuming that each species produces a toxic substance affecting the other species. ...
Modelling the Interaction of Two Biological Species in a Polluted Environment

Dubey, Balram (Elsevier, 2000-06)

In this paper a mathematical model is proposed and analysed to study the effect of an environmental pollutant on two interacting biological species. The interaction between the two species is considered to be of three ...
Tuberculosis of frontal bone: a case report

Sharma, Bhupendra Kumar (Indian Journal of Tuberculosis, 2001)

The occurrence of tuberculosis in the flat bones of skull is very rare. With the resurgence of tuberculosis the world over, there have been reports of unusual sites being affected by the disease. But cases of frontal bone ...
Existence and survival of two competing species in a polluted environment: a mathematical model

Dubey, Balram (World Scientific, 2001)

In this paper, a nonlinear mathematical model to study the effect of a toxicant emitted into the environment from external sources on two competing biological species is proposed and analyzed. The cases of constant emission ...
Descent principle in modular Galois theory

Keskar, Pradipkumar H. (IAS, 2001-05)

We propound a descent principle by which previously constructed equations over GF.qn/.X/ may be deformed to have incarnations over GF.q/.X/ without changing their Galois groups. Currently this is achieved by starting ...
A predator–prey interaction model with self and cross-diffusion

Dubey, Balram (Elsevier, 2001-07)

In this paper, a mathematical model for a predator–prey interaction with self and cross-diffusion is proposed and analysed. Criteria for local stability, instability and global stability are obtained. The effect of the ...
State Dependent Multi channel Queuing System with Ordered Entry

Shekhar, Chandra (MERC, 2002)

In the present study, we analyze the multi-channel service system with ordered entryfrom finite-source and finite-storage at each channel. The arrival and service rates are assumedto be state dependent. The steady state ...
A resource dependent fishery model with optimal harvesting policy

Dubey, Balram (World Scientific, 2002)

A dynamic model for a single-species fishery, which depends partially on a logistically growing resource with functional response, is proposed using taxation as control instrument to protect fish population from overexploitation. ...
A Theorem Relating Multidimensional Generalized Weyl Fractional Integral, Laplace and Varma Transforms with Applications

Mathur, Trilok (Tamsui Oxford Journal of Mathematical Sciences, 2002-07)

The main aim of this paper is to establish a theorem which asserts an interesting relationship between the multidimensional Laplace transform, the multidimensional Varma transform and the generalized Weyl fractional ...
A model for an inshore-offshore fishery

Dubey, Balram (World Scientific, 2003)

In this paper, a nonlinear mathematical model to study the dynamics of an inshore-offshore fishery under variable harvesting is proposed and analyzed. Criteria for local stability, instability and global stability of the ...
Injection and suction e ects on three-dimensional unsteady ow and heat transfer between two parallel porous plates

Sharma, Bhupendra Kumar (Redalyc, 2003)

The problem of unsteady three-dimensional ow of an incompressible viscous uid between two horizontal parallel porous plates with transverse sinusoidal injection of the uid at the stationary plate and with constant ...

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