Given two populations, x₁ and x₂, with logistic dynamics, the LotkaVolterra formulation adds an additional term to account for the species' interactions. Thus the competitive LotkaVolterra equations are: (Wikipedia has both equations, there are values for the variables, my questions is complete)

A. Give the Lotka-Volterra model of competition for both competing species (i.e., you should have two separate equations). Define all terms (4) B. There are four possible phase-plane diagrams for the Lotka-Volterra model of competition. Draw one of these phase-plane diagrams, with density of species 1 on the x-axis and density of species 2 on the y-axis. Draw zero-net-growth-isoclines for both species 1 and species 2 and label the x (ory) intercept for each ZNGI. For each of the different parts of the phase plane, draw the vector for species 1, the vector for species 2, and the net vector. (5) C. For the graph you drew in part B, what is the result of competition? (1) A. Give the Lotka-Volterra model of competition for both competing species (i.e., you should have two separate equations). Define all terms (4) B. There are four possible phase-plane diagrams for the Lotka-Volterra model of competition. Draw one of these phase-plane diagrams, with density of species 1 on the x-axis and density of species 2 on the y-axis. Draw zero-net-growth-isoclines for both species 1 and species 2 and label the x (ory) intercept for each ZNGI. For each of the different parts of the phase plane, draw the vector for species 1, the vector for species 2, and the net vector. (5) C. For the graph you drew in part B, what is the result of competition? (1)