Chapter 8.1, Problem 10E

Interpretation Introduction

Interpretation:

To analyse the dynamics of forest in Budworm vs. forest system by interpreting the terms biologically, then to non-dimensionalize the system, sketching the nullclines and then to draw the phase portrait for both large and small values of parameter B.

Concept Introduction:

Fixed point of a differential equation is a point where, $\text{f(x*) = 0 ; while substitution f(x*) = }\dot{\text{x}}\text{ is used and x\&*\#x00A0;is a fixed point}$

Nullclines are the curves where either $\dot{\text{x}}=0\text{ or }\dot{\text{y}}\text{ = 0}$ they show whether the flow is completely vertical or horizontal.

Phase portraits represent the trajectories of the system with respect to the parameters and give qualitative idea about evolution of the system, its fixed points, whether they will attract or repel the flow etc.