This project began as an attempt to understand the competition
of different strains of the barley yellow dwarf, specifically
the following graph which gives the prevalence of the MAV and
PAV strains in a study Rochow (1979) conducted near Ithaca.

With this aim we developed a model in which each site in the two
dimensional integer lattice can be in state 0 = healthy,
1,2 = infected by that strain, 3 = infected by both.
In words, new 1 infections occur at rate b1 times the fraction of
infected neighbors (for your favorite neighborhood)
but (a) doubly infected neighbors count for c1 < 1,
and (b) infections into a 2 infected site occur at c1 times the
rate for an uninfected site. As in the contact process, a plant
that is 1 infected becomes healthy at rate d1, but here, doubly infected
plants lose their 1 infection at rate d1/c1. There are of course, constants
b2, c2, d2 and analogous transitions for 2 infections.
Our basic question is: Can the two strains coexist? The picture below
of the nearest neighbor system with b1=2, d1=1, b2=3, d2=1, c1 =
c2 = shows that the answer is yes.
