CHANGING DYNAMICAL SYSTEM OF A SCIENTIFIC SUBSTITUTION STYLE A. M. Panya*, Enu N. Ekaka-a*
*Department of Mathematics and Statistics, College or university of Port Harcourt, Slot Harcourt. Fuzy
It is a well known fact that a dynamical system will change its stableness behavior because of changes in the style parameters. Through this study, we propose to analyse the primary changes in stableness if the inter-specific coefficients will be varied. Our results which we have certainly not been seen elsewhere will be presented and discussed qualitatively. INTRODUCTION
The interaction among two technology as suggested by the initial author  (and several other cited sources by ) follows a system of nonlinear first order ordinary differential equations. In this scenario, the device we are analysing is a modified form of the widely used Lotka-Volterra competition model .
Since the conduct of the remedy trajectory informs us about the dynamical system, we might think that a variation of an auto dvd unit parameter although other unit parameters will be fixed can cause the dynamical system to modify in different habits as a response to changing parameters.
The aim of this important subject matter in mathematics is to study the fundamental changes in the qualitative tendencies of balance otherwise generally known as bifurcation evaluation. In this talk, we will illustrate their application in a Technological Alternative Model (TSM).
Subsequent , the model is
x1, x2 are the populations of technology you and technology 2 . Place be indicated several methods, e. g., rate of units sold, volume of market share, etc . a1, a2 are definitely the growth costs of technology 1 and technology 2 . K1, k2 are the holding capacity of technology you and technology 2(i. elizabeth the maximum populace size of the technologies)., happen to be inter-specific rapport of competition of technology 1 and technology installment payments on your
REVISED MODEL 1