Rabbits killing birds revisited

Placing invasive species management in a spatiotemporal context

“…Although it may not be possible to implement the optimal solution in all circumstances, it provides a valuable yardstick against which to compare alternate strategies. Many previous analyses identify the best option from a finite set of possible strategies (Menz et al 1980, Higgins et al 2000, Crespo and Sun 2002, Zhang et al 2006, Baxter et al 2008, Cacho and Hester 2011, or restrict the form of the control strategy (e.g., Sharov 2004, Carrasco et al 2010a). Some restrictions represent legitimate limitations on managers' logistical or physical capabilities (e.g., budgetary constraints) and must be considered.…”

“…Increasing the complexity and realism of a model makes it harder to analyze and interpret mathematically, so it is reasonable to use a model which is just complex enough to be able to answer the question at hand. One of the most common simplifications to make is to only consider the temporal aspect of a problem (Courchamp et al 2003, Hastings et al 2006, Zhang et al 2006, Hauser et al 2007, Kern et al 2007, Baxter et al 2008, Blackwood et al 2010, Rout et al 2013, or only its spatial aspect (Neubert 2003, Hauser and McCarthy 2009, Baker and Bode 2013. However, invasive species control problems are inherently spatiotemporal, since the abundance of an invasive population, and the implementation of a management project, change in both space and time.…”

Indirect Effects of Introduced Predators on Seabird Islands

“…Without considering the mediation by the predator, the two prey species may appear to be competing, hence the term apparent competition . Th e dynamics of apparent competition on islands have been theoretically studied for the specifi c case where the primary prey is a native species, and the predator and secondary prey are introduced mammals (Courchamp et al 1999, Gaucel and Pontier 2005, Zhang et al 2006 ). An introduced prey species evolutionarily adapted to mammalian predation via a high growth rate can facilitate an increase in abundance of the introduced predator.…”

Diseased Prey with Harvesting Predator in Prey-Predator System – An Analytical Study

“…In biological terms persistence states the asymptotically the density of each species remains above a positive bond independent of initial conditions, which means that species stay away from extinguish. Mathematically this may be stated in terms of behaviour of solution of models representing biological phenomena [6]. Harvesting has a strong impact on the dynamic evaluation of population [8].…”