Exercice 4(25Marks): Given the phase-plane output below: The zero-growth isocline of species
1 (red) crosses the vertical axis at 273.33 and the horizontal axis at 410 , and the zero-growth
isocline of species 2 (blue) crosses the vertical axis at 410 and the horizontal axis at 273.33 . a)
What is an isocline (i.e., give its definition, and define it broadly)? How will a population change
in relation to its Isocline? Provide three different cases of how a population changes in relation to
its isocline? (5Marks) b) Calculate and . Provide a detailed answer. Include the meaning (in
mathematical terms) of the intersection between the isoclines and the axes, as well as the
meaning of their slopes (10Marks) c) Draw on the graph the arrows representing the direction of
population growth for the two species, as well as one arrow giving the resultant of the two
species' arrows in the four different parts of the graph - below the two isoclines, above the two
isoclines and in-between the isoclines (Hint: think back to the diagrams shown in Tutorial 7)
(4Marks) d) Based on these arrows, which of the Lotka-Volterra competition outcomes (I, II, III,
or IV) does this correspond to? Explain.(3Marks) e) Assuming that the intrinsic population
growth of each species is identical (r1=r2), what happens if one increases the initial population
size of species 1? Justify very briefly.(3Marks).
9548086042 for call girls in Indira Nagar with room service
Exercice 4(25Marks) Given the phase-plane output below The zero-gro.pdf
1. Exercice 4(25Marks): Given the phase-plane output below: The zero-growth isocline of species
1 (red) crosses the vertical axis at 273.33 and the horizontal axis at 410 , and the zero-growth
isocline of species 2 (blue) crosses the vertical axis at 410 and the horizontal axis at 273.33 . a)
What is an isocline (i.e., give its definition, and define it broadly)? How will a population change
in relation to its Isocline? Provide three different cases of how a population changes in relation to
its isocline? (5Marks) b) Calculate and . Provide a detailed answer. Include the meaning (in
mathematical terms) of the intersection between the isoclines and the axes, as well as the
meaning of their slopes (10Marks) c) Draw on the graph the arrows representing the direction of
population growth for the two species, as well as one arrow giving the resultant of the two
species' arrows in the four different parts of the graph - below the two isoclines, above the two
isoclines and in-between the isoclines (Hint: think back to the diagrams shown in Tutorial 7)
(4Marks) d) Based on these arrows, which of the Lotka-Volterra competition outcomes (I, II, III,
or IV) does this correspond to? Explain.(3Marks) e) Assuming that the intrinsic population
growth of each species is identical (r1=r2), what happens if one increases the initial population
size of species 1? Justify very briefly.(3Marks)
