❼ Explain and clearly identify all your answers.
❼ Include all the necessary mathematical details.
❼ Include any computer code and any input that may have been used as well as the final output.
❼ References must be provided if utilized in the work
❼ If you have any questions you may reach me by e-mail.
8 1. The Krill which are tiny shrimplike creatures are the principal food source for the huge blue whale.
The intrinsic growth rate and the carrying capacity of the blue whale are estimated at 5% per year
and 150,000 respectively. The maximum sustainable population for krill is 600 tons/acre. In the
absence of predators, in uncrowded conditions, the krill population grows at a rate of 20% per year.
The pres-ence of 600 tons/acre of krill increases blue whale population growth rate by 2.5% per year,
and the presence of 150,000 blue whales decreases krill growth rate by 8% per year.
(a) Determine all the steady states of the system and analyze theri stability. Can the blue whales
and the krill coexist?
(b) Verify your conclusion of stability by plotting the solution and the vector fields for selected
values of initial populations.
(c) Describe what happens to the two populations over time. Assume that we start o with 10,000
blue whales and 500 tons/acre of krill.
(d) How sensitive are your conclusions in to the assumption of 20% growth rate per year for krill?i
Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.
You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.Read more
Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.Read more
Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.Read more
Your email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.Read more
By sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.Read more