SPIDeC methods achieve arbitrarily high-order accuracy for positive dynamical systems while unconditionally preserving positivity and equilibria via a multiplicative Volterra structure, and they are L-stable with asymptotic logarithmic contractivity under Gauss-Radau nodes.
The Components of Predation as Revealed by a Study of Small-Mammal Predation of the European Pine Sawfly
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Derives global stability conditions for coexistence equilibria in generalized additional food predator-prey models, demonstrates codim-3 BT bifurcation in Holling IV variant, and shows via CRNT that additional food increases deficiency with possible link to complex bifurcations.
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Stable Positive Integral Deferred Correction Methods for Positive Dynamical Systems
SPIDeC methods achieve arbitrarily high-order accuracy for positive dynamical systems while unconditionally preserving positivity and equilibria via a multiplicative Volterra structure, and they are L-stable with asymptotic logarithmic contractivity under Gauss-Radau nodes.
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An Investigation of Additional Food Models with Generalised Functional Response
Derives global stability conditions for coexistence equilibria in generalized additional food predator-prey models, demonstrates codim-3 BT bifurcation in Holling IV variant, and shows via CRNT that additional food increases deficiency with possible link to complex bifurcations.