Defining the Model

Finally we study solutions of the May system (a hand out taken from other sources will be provided). Here is measured in units of "hectohares" (i.e., the number of hares in units of 100) and is the number of lynxes. Choose a variety of initial conditions, time intervals, stepsizes, and so forth. ***Are there any QUALITATIVE similarities and/or differences that you notice between the May model and the two L-V models?***

> eq1 := diff( x(t), t) = 0.6 * x(t) *(1 -(x(t) / 10)) - 0.5 * x(t) * y(t) /(x(t) + 1);

> eq2 := diff( y(t), t) = 0.1 * y(t) * ( 1 - y(t) / (2 * x(t)) );

> MODEL := { eq1, eq2 };

> vars := { x(t), y(t) };

> init1 := [0, 10, 10];

> init2 := [0, 10, 15];

> init3 := [0, 10, 5];

> domain := t = 0 .. 120;