  The symbiotic branching model describes a spatial population consisting of
two types that are allowed to migrate in space and branch locally only if both
types are present. We continue our investigation of the large scale behaviour
of the system started in Blath, Hammer and Ortgiese (2016), where we showed
that the continuum system converges after diffusive rescaling. Inspired by a
scaling property of the continuum model, a series of earlier works initiated by
Klenke and Mytnik (2010, 2012) studied the model on a discrete space, but with
infinite branching rate. In this paper, we bridge the gap between the two
models by showing that by diffusively rescaling this discrete space infinite
rate model, we obtain the continuum model from Blath, Hammer and Ortgiese
(2016). As an application of this convergence result, we show that if we start
the infinite rate system from complementary Heaviside initial conditions, the
initial ordering of types is preserved in the limit and that the interface
between the types consists of a single point.
