So far no one has been eaten in our story! Let's change that by going back to our Lotka Volterra predator prey model. As

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So Far No One Has Been Eaten In Our Story Let S Change That By Going Back To Our Lotka Volterra Predator Prey Model As 1 (97.66 KiB) Viewed 200 times

So far no one has been eaten in our story! Let's change that by going back to our Lotka Volterra predator prey model. Assume the following conditions: the dove population's instantaneous rate of growth is 0.5; the crow's population's death rate is 0.5; the capture efficiency is 0.1 and the conversion efficiency is 0.05. a. What would the initial size of the dove and crow populations must be for the model not to oscillate. Include the calculations that allowed you to arrive at this answer. Is this a stable or unstable equilibrium, why or why not? [Brief Explanation and Calculations, including units, round to the nearest individual) - 5 Points b. There are a number of assumptions of the Lokta Volterra predator-prey model. One is that the prey population will grow exponential in the absence of predators. Why isn't this a reasonable assumption to make and what type of competition should we try to account for? [Brief Explanation) - 5 Points c. How would you change the original Lokta-Volterra predator-prey equations to account density dependent prey? Describe the change in your words and document the changes by writing out the new equation(s). [Brief Explanation and Equations] – 5 Points d. HARDEST: This change will affect the prey isocline of the state space model. Use what you have learned in class to derive the new prey isocline. Show your calculations. Also, include a conceptual diagram of the new state space. [In other words, you need to draw the isoclines and include the equations to solve when the prey and predator isocline models hit the x and/or the y axis.) - 5 Points