Consider a branching process with offspring distribution {βk}k≥0 and assume 0 < β0 < 1. Suppose the evolution is altered as follows. Start with X0 = 1, a single individual. If the next generation is not empty (that is, if X1 > 0), they invite an immigrant to join them (that is, X1 is replaced by X1 + 1). After that the evolution continues according to the usual rule. In particular, no further immigration takes place. Find the extinction probability ˆπ of this new process, expressed in terms of β0 and the original extinction probability π. For which values of π do we have ˆπ < π, in other words, the immigrant strictly improves the chances of survival? Hint: Condition on the number of offspring of the first individual.
Answers: 2
Biology, 21.06.2019 19:30, zmeister
What will happen to a population of predators if there is a sudden, temporary increase in the number of prey? a. the population of predators will be uniform with no change. b. the population of predators will increase first and then decrease slowly. c. the population of predators will increase continuously.
Answers: 2
Biology, 21.06.2019 22:00, corrineikerd
Protein synthesis actually begins in the nucleus when transcribes a single gene on the dna molecule is copied. the process of copying this gene is called this copy is known as and contains the protein building instructions. this copy is sent out into the cytoplasm to the part of the cell known as the the of the ribosome will join together to form a functional ribosome when they attach to the mrna. as the mrna moves through the ribosome, the message is read by transfer rna brings the correct back to the ribosome. the amino acids are placed in the correct order and are hitched together by
Answers: 3
Biology, 22.06.2019 00:30, kcnawlay170
Name the types of burns one can get and which structures of the integument are damaged
Answers: 1
Consider a branching process with offspring distribution {βk}k≥0 and assume 0 < β0 < 1. Suppos...
Biology, 31.10.2019 11:31
Mathematics, 31.10.2019 11:31
English, 31.10.2019 11:31
Arts, 31.10.2019 11:31
Mathematics, 31.10.2019 11:31
Computers and Technology, 31.10.2019 11:31