BIS 2B Lecture Notes - Lecture 18: Logistic Function, Functional Response, Exponential Growth

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11/5 interspecific interactions - intro plus predation diff. Intraspecific = interactions between members of same species. Determine distribution and abundance of species important for pop regulation (logistic growth population) Effect of interaction on species a " and b (below) Facilitation conditionality - when outcome of interactions depend in environment. Prey equation: dv/dt = rv - pvp. V - victim population r - max growth rate rv - prey exponential growth pvp - deaths due to predation / functional response. P - # of predator p - # of prey / predation rate dv/dt = (b-d)v. / predator equation: dp/dt = cpvp - dpp c - rate of prey converting to predator offspring (digestive/handling efficiency) pvp - functional response / predator birth rate dpp - predator death in absence of prey dp/dt = (b-d)p. Predicts that prey will peak when predators are low, then predators will peak and decrease prey population = cycle.

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