The results show that if the length of the initial occupying area is longer than a critical size for the predators or the length of the initial occupying area is shorter than a critical size, but the moving coefficient of free boundary is relatively big, then the spreading of predators always happens under relatively small rate of death for the predator.
If the death rate of predator is relatively small and the length of the initial occupying area is longer than a critical size (tilde{h}_{0}), then the spreading of predator always happens.
The initial and boundary conditions for density are equivalent to specifying the surface (Gamma_{0}) that separates the two subdomains (Omega^{pm}(0)) initially occupied by different fluids.
Even though the decay curves in Figure 5 do not show single-exponential behavior, the decay curves were fitted assuming single exponential in the initial stage because the initial decay occupies a large fraction of total recombination.
Let us consider a system of particles, including two particles i and j both of mass m that occupy initial positions of ri0 and rj0 with initial velocities of vi and vj.
The site was chosen after initial plans to occupy the nearby square adjoining the headquarters of the London stock exchange were thwarted by police.
"We think Coal Chamber, with their initial success, really occupy a special niche," says Ed Thomas, co-general manager of Left Bank.
"I am here because I am a woman and we protect our sacred water," Charlotte Loonsfoot (picture to left by Chauncey Moran), a member of the Keweenaw Bay Indian Community, told me about her initial decision to occupy Eagle Rock.
As the initial order to occupy the Geertruidenberg sector had not been followed upon, the route to the Moerdijk bridges would not be blocked and the German armoured division would not be engaged by its stronger French mechanised counterpart.
Whatever its initial strengths, Occupy later suffered when it failed to provide a coherent and long-term vision for society.
