Half-explicit Runge-Kutta methods for semi-explicit differential-algebraic equations of index 1.
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...
He's variational iteration method for solving fractional Riccati differential equation.
High order explicit Runge-Kutta pairs for ephemerides of the solar system and the Moon.
Higher-index differential-algebraic equations: analysis and numerical treatment
How to Increase the Order to Get Minimal-Error Algorithms for Systems of ODE.