Describe how Lotka-Volterra competition models support the competitive exclusion principle. (2 pages)
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Describe how Lotka-Volterra competition models support the competitive exclusion principle. (2 pages)
Question 3 Lotka-Volterra interspecific competition models: Can be used to calculate the changes in population size of two competing species Do not consider the impact of direct competition between two species Require only carrying capacity, starting population size, and interspecific competition coefficients Tell us whether interspecific competition between two species is exploitative or interferen
The competitive exclusion principle states that ____________________________________ ____________________________________________________________________________. Write the general equation that describes the population growth rate of a population that competes with another species (can be handwritten). What do the competition coefficients in the model represent? Briefly describe how predation and herbivory affect competition among species. Briefly describe the difference between interference competition and apparent competition. Provide an example of each.
What is the relationship between character (trait) displacement and the competitive exclusion principle? A. Character (trait) displacement refers to predator-prey interactions, while the competitive exclusion principle refers to competition between species on the same trophic level. B. Rationale for character (trait) displacement stems from the competitive exclusion principle. Species exhibit evolutionary change leading to different ecological niches, as a result of competition. C. The competitive exclusion principle details that productivity limits the number of trophic levels in a community. Similarly,...
Module 5: Lotka-Volterra competition equations and predictions number of individuals they would be in species 1 terms, when considering their effect on species 1's growth. 1. For each of the two equations below for the population growth of Species 1 and 2, solve for .How many different ways can you get population growth rate 0? Just to get you started, "N 0 ifr O. dt Species 1 Species 2 K, dr K, Equilibrium solutions for species 1 (in the presence...
The figure below shows the Lotka-Volterra model of competition between two species. What is happening at point B? K,/α dN/dt = 0 B) dN/dt < 0 dN/dt> 0 A 0 K species 1 species 2 (a) N K2 dNz/dt = 0 N2 dNldt < 0 D dN /dt> 0 0 KIB (b) N Species 2 growth rate is negative O Species 2 growth rate is positive O Species 1 growth rate is positive O Species 1 growth rate is negative
• (Problem 2) Consider the second version of the Lotka-Volterra model: F(a – bF – cS) dF dt ds dt S(-k + \F). (1) Explain the model; i.e. what are the terms in the equation signify? How is this model different from equations (1)? (2) Find the equilibrium point(s). (3) Linearize (2) about the equilibrium point(s). (4) Classify if the equilibrium points are stable or unstable. (5) Pick some values for a, b, c, k, 1. Plot the solutions of...
Read the following problem. Use your knowledge about the Inclusion-Exclusion Principle to support your criteria. Telephone numbering is an application of the inclusion-exclusion principle. Discuss with your peers a way in which the current telephone numbering plan can be extended to accommodate the rapid demand for more telephone numbers. (See if you can find some of the proposals coming from the telecommunications industry). For each new numbering plan, you discuss show how to find the number of different telephone numbers...
Read the following problem. Use your knowledge about the Inclusion-Exclusion Principle to support your criteria. Telephone numbering is an application of the inclusion-exclusion principle. Discuss with your peers a way in which the current telephone numbering plan can be extended to accommodate the rapid demand for more telephone numbers. (See if you can find some of the proposals coming from the telecommunications industry). For each new numbering plan you discuss show how to find the number of different telephone numbers...
11. Describe the Pauli exclusion principle. If 2 electrons share the same quantum numbers for n, l, and mi, what must be different about them? 12. Using complete subshell notation (1s22s22p®, and so forth), predict the electron configuration of each of the following atoms. a. N b. Sc c. Na d. As e. Mn 13. How many valence electrons do the following atoms have? a. P b. N K c. d . Ni e. Ne
The Pauli Exclusion Principle In this problem we will try to see how the requirement that the multi-electron wave function be antisymmetric under the exchange of two particles is related to the more familiar “Pauli exclusion principle”. Consider two non-interacting spin-particles in a 1D box of length 1, with the two particles in the excited configuration: V - 1012(x1) 02a(x1)| Y = € 1010(x2) 02a(2) | Take 01 = V2 sin(1x) and $2 = V2 sin(2tex). a) Verify that Ye...