https://www.chenk.top/en/tags/leslie-matrix/Recent content in Leslie Matrix on Chen Kai BlogHugoenSat, 24 Feb 2024 09:00:00 +0000https://www.chenk.top/en/ode/15-population-dynamics/Sat, 24 Feb 2024 09:00:00 +0000https://www.chenk.top/en/ode/15-population-dynamics/<p><strong>Why do lynx and snowshoe hare populations cycle with eerie regularity over a 10-year period?</strong> Why does introducing a single new species sometimes collapse an entire ecosystem? Why do similar competitors sometimes coexist and sometimes drive each other extinct? The answers are not in the species; they are in the <em>equations</em> relating the species. This chapter walks through the canonical models of mathematical ecology: from the single-population logistic and Allee models to multi-species competition, predator-prey oscillations, age structure, and spatial spread.</p>