-stability of dynamic equations on time scales with nonregressivity.
Harmonic solutions to perturbations of periodic separated variables ODEs on manifolds.
Harvesting of a single-species system incorporating stage structure and toxicity.
Herbivore harvesting and alternative steady states in coral reefs
Coral reefs can undergo relatively rapid changes in the dominant biota, a phenomenon referred to as phase shift. Degradation of coral reefs is often associated with changes in community structure towards a macroalgae-dominated reef ecosystem due to the reduction in herbivory caused by overfishing. We investigate the coral-macroalgal phase shift due to the effects of harvesting of herbivorous reef fish by means of a continuous time model in the food chain. Conditions for local asymptotic stability...
Higher Order Methods for a Singularly Perturbed Problem.
Homogeneous Systems with a Quiescent Phase
Recently the effect of a quiescent phase (or dormant/resting phase in applications) on the dynamics of a system of differential equations has been investigated, in particular with respect to stability properties of stationary points. It has been shown that there is a general phenomenon of stabilization against oscillations which can be cast in rigorous form. Here we investigate, for homogeneous systems, the effect of a quiescent phase, and more generally, a phase with slower dynamics. We show that...
Hybrid nonnegative and compartmental dynamical systems.
Hyers-Ulam stability of differential equation .
Hyers-Ulam stability of nonhomogeneous linear differential equations of second order.
Hyperbolic differential-operator equations on a whole axis.
Hyperbolicity, stability, and the criterion of homoclinic points.