questions are below:

One of the simplest models of predator-prey interactions is the Lotka Volterra system %=a$1+5m1$2 dt (4) E at t5a:$ dt 'Y 2 1 2 The Lotka-Volterra system is a result of the Balance Law: the net rate of change of a population is equal to the rate in of members (birth/immigration) minus the rate out of members (death/emigration) In this model, the variable :61 represents the predator population and 562 represents the prey population. These variables both reside in the rst quadrant of the salsa-plane, which is also called the population quadrant. The positive parameters as, @136 can be interpreted as follows: predator mortality rate -| predator attack rate / conversion efciency (food into offspring) -| prey growth rate "I prey mortality rate I searching efciency / attack rate 1. Classify the Lotka-Volterra system (4). Is it linear? Autonomous? What is its order? 2. Analytically find the v and h nullclines and all equilibrium solutions of (4). DO NOT use specific values for any of the parameters a, B, Y, or