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Lecture_21_Exploitation II_23March 2011

Lecture_21_Exploitation II_23March 2011 - ExploitationII...

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Exploitation II
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Lotka and Volterra models are  deterministic  – which means that the values of  the variables and the initial population sizes determine exactly what will  happen. In real life random events and variation in the environment influence  population dynamics.  Stochastic  models take into account these chance events and variation in the  environment. Compare the output of the Stochastic SimUText model with the controlled  Lotka-Volterra model (page 10/14 versus page 8/14) 
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Lotka-Volterra predator- prey model - Review Fig 14.17 Be able to recognize the model  distinguish it from their competition model) if you  are shown the equations (for example, in a quiz or  exam).
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Equation for prey (host) dynamics looks like this:  dN h  = r h N h  – pN h N p       dt Equation for predator dynamics looks like this:  dN p   = cpN h N p  – d p N p      dt
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Many of the assumptions of the Lotka-Volterra  predator-prey model are not realistic 1 . No  density dependence in growth rates  for either predator  or prey (i.e. no K or term for intra-specific competition)    2. The prey (host) species is the  only food source  for the  predator.   3. The predator is the only  cause of death  for the prey.
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Many of the assumptions of the Lotka-Volterra  predator-prey model are not realistic 4. Predators  instantaneously convert prey
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  • Spring '08
  • Gehring,C
  • biological control agents, predator satiation, Lotka­Volterra  predator­prey model, prey coevolution Red, Predator satiation Type

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