“…Hosteparasite systems that contain positive DDs have been widely studied and documented (see e.g. for onchocerciasis Churcher et al, 2005Churcher et al, , 2006Duerr et al, 2003), schistosomiasis (Spear, 2012), lymphatic filariasis (LF) (Gambhir et al, 2010b;Gambhir and Michael, 2008), malaria (Muriu et al, 2013;Churcher et al, 2010;White et al, 2011)) though few of these studies explicitly focus upon the possibility of extinction of the parasite at low-intensity levels (the paper by White et al (2011) is a notable exception, perhaps because malaria is a disease for which there is an eradication goal). The paper by Duerr et al (2005) has come Figure 1 The effective reproduction number profile.…”