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Herbivore harvesting and alternative steady states in coral reefs

Ikbal Hossein Sarkar, Joydeb Bhattacharyya, Samares Pal (2021)

Applications of Mathematics

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...

Herleitung einer integrabeln Differentialgleichung mittels der Liouville'schen Methode der Differentiation mit belibigem Zeiger

J. Thomae (1874)

Nachrichten von der Königl. Gesellschaft der Wissenschaften und der Georg-Augusts-Universität zu Göttingen

Hermite interpolation on simplexes in the finite element method

Ženíšek, Alexander (1973)

Proceedings of Equadiff III

Hermite spline interpolation on patches for parallelly solving the Vlasov-Poisson equation

Nicolas Crouseilles, Guillaume Latu, Eric Sonnendrücker (2007)

International Journal of Applied Mathematics and Computer Science

This work is devoted to the numerical simulation of the Vlasov equation using a phase space grid. In contrast to Particle-In-Cell (PIC) methods, which are known to be noisy, we propose a semi-Lagrangian-type method to discretize the Vlasov equation in the two-dimensional phase space. As this kind of method requires a huge computational effort, one has to carry out the simulations on parallel machines. For this purpose, we present a method using patches decomposing the phase domain, each patch being...

Hermitian, symmetric and symplectic random ensembles: PDEs for the distribution of the spectrum.

Adler, M., van Moerbeke, P. (2001)

Annals of Mathematics. Second Series

He's variational iteration method for solving fractional Riccati differential equation.

Jafari, H., Tajadodi, H. (2010)

International Journal of Differential Equations

Heteroclinic connections for a class of non-autonomous systems.

Sanchez, L. (2001)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Heteroclinic cycles in ecological differential equations

Hofbauer, Josef (1994)

Equadiff 8

Heteroclinic orbits in plane dynamical systems

Luisa Malaguti, Cristina Marcelli (2002)

Archivum Mathematicum

We consider general second order boundary value problems on the whole line of the type $u^{''} = h (t, u, u^{'})$ , $u (- \infty) = 0, u (+ \infty) = 1$ , for which we provide existence, non-existence, multiplicity results. The solutions we find can be reviewed as heteroclinic orbits in the $(u, u^{'})$ plane dynamical system.