COEXISTENCE OF LAZY FROGS ON Z

We study the so-called frog model on Z with two types of lazy frogs, with parameters p(1), p(2) is an element of (0, 1] respectively, and a finite expected number of dormant frogs per site. We show that for any such p(1) and p(2) there is positive probability that the two types coexist (i.e. that both types activate infinitely many frogs). This answers a question of Deijfen, Hirscher, and Lopes in dimension one.