In a particular woodland community, two species of rodents coexist: mice and chipmunks. Both species compete for the same kinds of seeds and nuts. A species of owl that also lives in this woodland community preys on mice more than chipmunks. The population sizes of all three species remained fairly constant until several years ago, when the introduction of a parasite dramatically reduced the owl population. How would you expect the decline of the owls to affect the other species? The chipmunk population will remain high without competition. The mouse population will dramatically increase without the owl. The chipmunk population will stay constant, then increase slightly. Seeds and nuts will increase without predators to prey on them. Question 5(Multiple Choice Worth 3 points) (08.06 MC) Which of the four communities listed below has the greatest level of diversity? Community one: 24A, 26B, 1C, 0D Community two: 30A, 40B, 30C, 0D Community three: 10A, 5B, 75C, 10D Community four: 0A, 50B, 40C, 5D
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This could potentially lead to a decrease in the chipmunk population, as the increased mouse population would increase competition for the same food resources (seeds and nuts). However, it's also possible that the chipmunk population could remain stable or even Show more…
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There are two species interacting: a prey species x and a predator species y. For the purposes of the model no other species interact with these two. In the absence of the predator, the prey exhibits pure exponential growth. There is enough food and resources to allow the prey to grow indefinitely. In the absence of prey, the predator dies out exponentially. This means that there is other food for the predator than the prey, but not enough to sustain the population. Thus, extinction takes years rather than days. When there are both predator and prey, the predators kill the prey such that the predator population increases at a rate proportional to the product of the number of predators and the number of prey. The prey population is decreased in a similar manner. Let y be the number of predator, and x be the number of prey. Our assumptions above lead us to write: dx/dt = ax - bxy, dy/dt = -cx + dxy, where a > 0 is the rate at which prey population increase when there are no predators, d > 0 is the rate at which the predators die out when there is no prey, b > 0 is the rate at which prey are killed off when there are predators present, and c > 0 is the rate and which predators population increases when there are prey. a. Find the equilibrium points for the system. b. Determine the Jacobian matrix of the system. c. Use the eigenvalue method to discuss the stability at each equilibrium point.
Sri K.
There is an interrelationship between four variables. There is a growth forest that has mice, owls, and humans. The humans clear the forest for living area and decrease the amount of forest for the animals. When that occurs, the mice need space and go into the building the humans built. On the mice is a flea that will cause a deadly virus to the humans. If the population of mice is kept below a certain level, no person will get sick (because the mice will live in the forest), but if it goes above a level, then people will get ill. The owls are unaffected by the flea. There are 620 acres of forest. Here are the variables: I = number of cases of illness among the villagers M = mouse population OP = owl population A = acres of trees remaining I = 0.25M - 20 M = 1600 - 20 * OP OP = 0.2A Find the following: 1. What are the domain and range for each variable? 2. What is the maximum number of owls that can survive in the forest? 3. What is the maximum number of individuals that can become ill? 4. What does this tell us about the environment?
Linda W.
A biologist studies a population of voles for 20 years. During almost the entire research period, the population stays between 50 and 75 individuals. Additionally, fewer than half of the voles born do not survive to reproduce, due to predation and competition for food. Then, in one generation, 80% of the voles born live to reproduce. The population increases to 110 individuals. What inferences about food and predation can you make for the singular generation in which 80% of offspring survived? What prediction can you make about the genetic and phenotypic variation of future populations for this group of voles? a. Either there was fewer food available or the degree of predation increased. The future generations of this group of voles should evidence fewer genetic variation. b. Either there was fewer food available or the degree of predation increased. The future generations of this group of voles should evidence greater genetic variation. c. Either there was more food available or the degree of predation decreased. The future generations of this group of voles should evidence less genetic variation. d. Either there was more food available or the degree of predation decreased. The future generations of this group of voles should evidence greater genetic variation.
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