Methanotrophs are microaerophilic organisms that play an important role in regulating the
flow of methane into the atmosphere. Methane, which is an important greenhouse gas, is …

Regarded less than two decades ago as the province of theoreticians and understood
mainly in terms of a single-step, exothermic, homogeneous reaction in a well-stirred vessel …

Up to now in our study of continuous population models we have been assuming that x (t),
the growth rate of population size at time t, depends only on x (t), the population size at the …

The chemostat is a basic piece of laboratory apparatus, yet it has begun to occupy an
increasingly central role in ecological studies. The ecological environment created by a …

A new criterion for the global stability of equilibria is derived for nonlinear autonomous
ordinary differential equations in any finite dimension based on recent developments in …

Ratio-dependent predator–prey models are favored by many animal ecologists recently as
more suitable ones for predator–prey interactions where predation involves searching …

As one of the most quantitative of ecological subdisciplines, resource competition is an
important, central area of ecology. Recently research into this area has increased …

[ ( hy)] Page 1 SIAM J. APPL. MATH. Vol. 55,No. pp. 763--783, June 1995 1995 Society for
Industrial and Applied Mathematics 011 GLOBAL STABILITY FOR A CLASS OF PREDATOR-PREY …

For a modified Anderson and May model of host parasite dynamics it is shown that infections
of different levels of virulence die out asymptotically except those that optimize the basic …

A three-dimensional continuous time dynamical system is considered. It is a model for a
tritrophic food chain, based on a modified version of the Leslie–Gower scheme. We …