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Ecology and Epidemiology

Ecology and Epidemiology. Nicholson Bailey host - parasitoid model. H n , P n – population densities of hosts and parasitoids at season no n. R H , R P , a - parameters. Variations. Variations. K H – environmental capacity for host population. Equilbrium Stability of equilbrium.

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Ecology and Epidemiology

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  1. Ecology and Epidemiology

  2. Nicholson Bailey host - parasitoid model Hn, Pn – population densities of hosts and parasitoids at season no n RH, RP, a - parameters

  3. Variations

  4. Variations KH – environmental capacity for host population

  5. EquilbriumStability of equilbrium

  6. How dynamics of N-B models depend on environmental capacity ?

  7. Bifurcation diagramLyapunov exponent diagram

  8. Kermack – McKendrick SIR epidemic model S – susceptibles I – infectives R - removals

  9. Threshold theorem

  10. Severity of epidemic Relative removal rate

  11. N – population size N=S+ R N=S0 =1- S / S0 - contract of the disease

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