Group 6
Wiki site of the practical exercise of the VI Southern-Summer School on Mathematical Biology.
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Plants evolved a huge and diverse weaponery against herbivory, like toxic chemicals and mechanical defenses.
Although such defenses do hinder herbivory, top-down control by predators is also very important to keep the population of many herbivores in check. Oddly enough, it is well documented that plant defenses can attenuate the predation pressure on herbivorous insects.
Ian Kaplan and Jennifer Thaler (2010) made a nice case on the multiple (and not mutually exclusive) explanations for that:
Propose a simple but realistic mathematical model to describe the coupled dynamics of populations of protected and unprotected plants, herbivores and predators. Your model should take into account at least two of the explanations presented above for the decreasing of predation in more protected plants. You are welcome to build on the case study of Kaplan & Lather (2010) or choose any other one with similar features.
Here are some questions you may explore, but further well-grounded insights are also welcome.