![conway conway](https://www.alanzucconi.com/wp-content/uploads/2020/08/SciAm1970_page2.jpg)
After the first oscillations, fluctuations are clearly visible in both populations beyond 700 generations and a correlation analysis confirms predator peaks continue to be separated by about 70 generations.
![conway conway](http://i.ytimg.com/vi/C2vgICfQawE/maxresdefault.jpg)
The first predator peak occurs 67 generations after the first peak of the prey population. Unlike idealized predator–prey distributions modeled by coupled differential equations, the magnitude of oscillations diminishes significantly after the first fall and rise. (9) due to the scarcity of food, which in turn provides an opportunity for the prey to recover. The resilience of the predator then declines according to Eq. The population density of the prey drops rapidly. 42 The gSCGOL is executed with R min, prey = 1.15 with the interaction activated at generation 20. The lynx relies heavily on the snowshoe hare for its nutritional needs. The first pair is labeled as lynx and hare and provides a classic predator–prey outcome with strong interaction. Two sets show both the predator and prey population densities as a function of generation.
A student-designed predator–prey model is shown to qualitatively describe the fate of strongly- and weakly coupled predator–prey systems (snowshoe hare/lynx and rabbit/fox, respectively) and sudden and slow predatory impact (dodo and diprotodon, respectively).įigure 4 displays four sets of results. The model is shown to mimic environmental catastrophes and is illustrated by the model's prediction of a return to the pre-hunting level of the global whale population by 2140. This generalized model provides the opportunity to model the fortune of species and to compare to available data. Species are characterized by just two parameters: a preferred neighborhood liveness representing the tendency to herd and a resilience parameter representing species' vulnerability to environmental changes. A variant of the classic game of life is presented, the generalized semi-classical game of life, in which each cell contains a qubit that evolves by repeated application of birth, death, and survival operators. The emergence of complex multi-cellular objects provides a fascinating vehicle for exploration. Conway's classic game of life is a two-dimensional cellular automaton in which each cell is alive or dead and evolves according to simple rules that depend solely on the number of live cells in its immediate neighborhood.