Population Dynamics

Why do lynx and hare populations rise and fall in a ten-year rhythm? Why did reduced fishing during the First World War lead to more sharks? How many fish can be caught each year without wrecking a fishery? When can two competing species share a habitat, and why did protecting turtle nests not save the turtles? Why can a species die out while some of its habitat is still intact? Model interacting populations with differential equations and matrices, and find out.