… can reduce prey feeding or mating success) on the … on prey use of refuges and present some
new data on refuge use … These results are derived from rather simple local stability analyses…

… simplest forms of refuge use by the prey. Although this … prey refuges in simple predator–prey
models other than the original Lotka–Volterra equations. Here we incorporate prey refuges …

… Mathematically, the stability analysis of this equilibrium starts with the linearization of the
dynamics (4) about ( x ∗ , z ∗ , 0 ) . This is (7) [ x ̇ z ̇ x ̇ ′ ] ≅ L [ x − x ∗ z − z ∗ x ′ ] where …

… stable conditions with prey refuges as a controlled parameter is linear. Therefore, it is easily
to find a threshold value. The positive equilibrium point is stable … state to a stable state due to …

… this analysis is the existence of a temperature interval in which increasing the amount of refuge
… to persist in that predator and prey minimum population densities are lower than when no …

… Prey use of refuges makes it harder for consumers to … When prey are disadvantaged by
refuge use, the ability of the prey to escape from consumer control is reduced, hence stability is …

… that prey refuges can destabilize or decrease the stability of … of prey and a constant number
of prey using refuges. The main … Do refuges promote the community stability of predator–prey …

… does not change the nature of the dynamical stability of the neutrally stable Lotka–Volterra …
prey refuge proportional to the prey densities m 1 x 1 and m 2 x 2 of the first and second prey …

… of each equilibrium point and take different parameter sets to show the quantitative analysis
… of prey refuge which explicitly show the stability of the systems. In Fig. 2 we show the stability …

… stability of the homogeneous solutions with respect to perturbations. Turing proved that it is
possible for a homogeneous attracting equilibrium to lose stability … linear stability analysis, we …