Biol 201h - Notes - 3.31.09

Biol 201h Notes- - Poisson distribution aPt = average number of encounters per host with a parasitoid in a given generation probability of r

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Nicholson-bailey: host parasitoid model Host: eggs   larvae   pupae   adults -  eggs Parasitoid: adults   eggs inside an infected hose   larvae -  adults - Unparasitized hosts have host progeny - Parasitized hosts give rise to parasite progeny - Parasitization rate depends upon rate of encounter - Encounters occur randomly - A specific host can only be parasitized once Nt = # of hosts at generation t Pt = # of parasitoids at generation t Lambda = host reproductive rate C = average number of parasitoid eggs laid in a single host A = searching efficiency of the parasitoid
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Unformatted text preview: Poisson distribution aPt = average number of encounters per host with a parasitoid in a given generation probability of r encounters-P(r) = [e ^ (-aPt)*(aPt^r)]/r! Probability host reproduces successfully-P(o) Probabiloity parasitoid reproduced successfully-1 – e^(-aPt) Nt+1 = Nt * (1+probability host reproduces successfully ) – (Pt * (1+1 – e^(-aPt))*( e ^ (-aPt)*(aPt^r)]/r!) Pt+1 = Pt * (1+1 – e^(-aPt))*( e ^ (-aPt)*(aPt^r)]/r!) Nt+1 = lambda Nt * e^-aPt Pt+1 = c Nt ( 1 – e^-aPt)...
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This note was uploaded on 09/24/2009 for the course BIOL 201 taught by Professor Mitchell during the Spring '07 term at UNC.

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