For my first look at mathematical models, I thought I would see what happens when we put Metabolic Theory of Ecology, which predicts changes of organism metabolic related trait rates with temperature, together with classic predator-prey models! Sounds exciting, right?! I think so, mostly because predator prey models are interesting differential equation models by themselves and combing them with temperature dependence sounds cool. So, the question I'll be trying to answer is: what happens as temperature increases in predator-prey systems and can the systems go from stable to unstable populations? Another question I've stumbled across while working on this blogpost: why does blogger not support equations and why do my equations look terrible?
Short answer: With some temperature increases about the same as global warming, we see increasing instabilities in the predator-prey models. See the cool figure below and read the math for more information.
Short answer: With some temperature increases about the same as global warming, we see increasing instabilities in the predator-prey models. See the cool figure below and read the math for more information.
