Transient behaviour of water ages in the World Ocean

in Mathematical & Computer Modelling (2002), 36(1-2), 121-127

The transient behaviour of the age of the water and that of the surface water is studied in the World Ocean. At any time and position, the age of the water, the age and the concentration of the surface ... [more ▼]

The transient behaviour of the age of the water and that of the surface water is studied in the World Ocean. At any time and position, the age of the water, the age and the concentration of the surface water are seen to obey a simple algebraic relation. The latter is illustrated by means of results of a three-dimensional World Ocean model and the analytical solution of an idealised, purely-diffusive, one-dimensional problem. (C) 2002 Elsevier Science Ltd. All rights reserved. [less ▲]

A simple two species ecological model exhibiting chaotic behaviour

in Mathematical & Computer Modelling (1995), 21(6), 3-11

The classical prey-predator model of Lotka-Volterra is revisited. Instead of constant growth rates, a modulated growth rate for the prey is used. It is shown that in this very simple case, the resulting ... [more ▼]

The classical prey-predator model of Lotka-Volterra is revisited. Instead of constant growth rates, a modulated growth rate for the prey is used. It is shown that in this very simple case, the resulting system's evolution may become nonlinearly resonant. This shows that complex behaviour is not necessarily related to complex systems. [less ▲]

An anomalous nonlinear heat-conduction problem (improvement)

in Mathematical & Computer Modelling (1990), 13(5), 89-92

A linear anomalous heat-flux problem is analysed from a stability point of view and a previous [Mathl Comput. Modelling 12(6), 671–672 (1989)] is improved. Then a non-linear problem proposed in the same ... [more ▼]

A linear anomalous heat-flux problem is analysed from a stability point of view and a previous [Mathl Comput. Modelling 12(6), 671–672 (1989)] is improved. Then a non-linear problem proposed in the same paper is partly resolved and numerically verified, which shows that only one stationary solution is stable to perturbations. [less ▲]