A word portrait of Prof. N.Ch. Pattabhiramacharyulu, Retired Professor, NIT, Warangal, India

A word portrait of Prof. N.Ch. Pattabhiramacharyulu, Retired Professor, NIT, Warangal, Indi

Messages of Eminent Scholars

Messages of Eminent Scholar

A multilateral model of ecological ammensalism - numerical approach

The paper concerns with the numerical study of a mathematical model of “A Multilateral Model of Ecological Ammensalism - Numerical Approach”. The mathematical model comprises of Ammensal-enemy species pair with (i) a constant number of Ammensal is provided with cover to protect it from enemy(ii)the enemy is provided with alternate resources in addition to the Ammensal species (iii) both the species are immigrated and migrated. The model is organized by a couple of first order non linear ordinary differential equations. The numerical illustrations of the growth equations are computed by implementing the classical Runge-Kutta method of fourth order. The relations among the cover protected constant and the dominance reversal time is investigated. Some conclusions are obtained by the results. AMS Classification: 92 D 25, 92 D 40&nbsp

A case study in three species ecological ammensalism

In this paper, A case in three species ecosystem is investigated numerically.This system is formed by a set of three first order non-linear simultaneous equations in N1, N2 and N3.The relations among the natural growth rate of enemy species and the dominance reversal time between predator and enemy are established. In addition to it, the interactions among the three species are also discussed .Some observations are presented by Numerical study. AMS Classification: 92 D 25, 92 D 4

Relation between reversal dominance time and carrying capacities in multiplex ecological ammensalism - A numerical study

The paper aims to investigate a mathematical model of multiplex Ecological Ammensalism with the help of classical RK-method of fourth order in view of reversal dominance time. The mathematical model constitutes of Ammensal-enemy species pair with cover protection for Ammensal species, alternative resources for enemy species and both the species are immigrated. In addition to this, harvesting variable rates are also incorporated. The model is characterized by a couple of first order non linear ordinary differential equations. The relation between the carrying capacity of Ammensal /enemy species with the reversal dominance time is investigated numerically. Some conclusions are derived from the relationships.  AMS Classification: 92 D 25, 92 D 4