EVSP 342_Worksheet5_answers
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School
American Military University *
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Course
342
Subject
Mathematics
Date
Apr 3, 2024
Type
Pages
3
Uploaded by ProfessorMetalBarracuda4
Worksheet 5 Instructions:
Please answer the following questions on this document, save, and attach to the Assignment page. 1.
The Lotka-Volterra competition model is simply a modification of the logistic model. To capture the effect of a competitor on another species, The Lotka-Volterra equation adds a new term. a. What is the name of this term? Competition Coefficient
b. what is the symbol used?
𝛼
ij (this is a lower case a
with a subscript i
and
j
) 2.
The zero growth isocline line for Species A represents all the combinations of population sizes of Species A and Species B (who is a competitor of Species A) for which the growth of Species A is zero. True or False? True
3.
Assign the appropriate arrow set to each of the quadrants identified on the graph below: a.
Does arrow set 1, 2, or 3 represent quadrant A? (2)
b.
Does arrow set 1, 2, or 3 represent quadrant B? (1)
c.
Does arrow set 1, 2, or 3 represent quadrant C? (3)
4.
Using the graph below, answer the following questions: a.
Which point (A, B, or C) represents the point at which Species 2 has competitively excluded Species 1? (C)
C B A K
2 α
21 K
1 N
1 K
2 α
12 K
1 N
2 Arrow Set 1 =
Arrow Set 2 =
Arrow Set 3 =
b.
Which point (A, B, or C) represents the point at which Species 1 has competitively excluded Species 2? (A)
c.
Which point (A, B, or C) represents the point at which Species 1 and Species 2 coexist? (B)
5.
A common model to capture the dynamics of the host-parasite interactions is known as the SIR model. a.
What does S represent? susceptible
b.
What does I represent? infected
c.
What does R represent? recovered
6.
In modeling host-parasite interactions, the parameter R
0
is the mean number of new infections caused by a single infective individual. If R
0
is less than 1, will disease incidence increase or decrease? decrease
7.
Define the following terms: a.
Mutualism is an interaction in which both species benefit.
b.
Commensalism is one partner benefits from the interaction, while the other experiences no particular benefit or harm.
c.
Ecological Release is a species occupies a border niche or geographic area in the absence of a closely related competitor.
A K
2 α
21 K
1 N
1 K
2 α
12 K
1 N
2 B C
d.
Niche Partitioning is two or more species coexist while sharing one or more resources in such a way that the niche overlapped apparently violates the competitive exclusion principle.
e.
Character Displacement is defined as a situation in which two species, when living in separate geographical ranges, have nearly identical physical characteristics.
f.
Competitive Exclusion Principle is when species which are complete competitors, that is, whose niches overlap completely, cannot coexist indefinitely.
g.
Contiguous Allopathy is when two species occupy distinctly different geographic areas directly adjacent to one another.
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