Suppose that you were tasked with creating a system of ordinary differential equations to model predator-prey dynamics.Let x and y denote the number of prey (e.g., rabbits) and predators (e.g., foxes), respectively, as a function of time, where,, , and represent parameters that describe how some predator and prey interact with each other.Which of the following systems of first-order nonlinear ordinary differential equations describe such a system?

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Suppose that you were tasked with creating a system of ordinary differential equations to model predator-prey dynamics.Let x and y denote the number of prey (e.g., rabbits) and predators (e.g., foxes), respectively, as a function of time<br><img src='https://www.fatskills.com/images2/GradExams/60627DE7-0B80-44ED-9292-2AB85431555B.png' height='14' width='7'/>, where<br><img src='https://www.fatskills.com/images2/GradExams/39B53860-1BED-4A8A-A501-F67913B68A98.png' height='10' width='12'/>,<br><img src='https://www.fatskills.com/images2/GradExams/4CF757ED-1F69-4D1B-BC02-518276C5B086.png' height='18' width='12'/>,<br><img src='https://www.fatskills.com/images2/GradExams/558BE46C-C8EB-439F-8A9F-6966FB115360.png' height='14' width='11'/> , and<br><img src='https://www.fatskills.com/images2/GradExams/ECE21B90-FB5C-4C88-A8CA-64FAF83BBE6A.png' height='15' width='9'/> represent parameters that describe how some predator and prey interact with each other.Which of the following systems of first-order nonlinear ordinary differential equations describe such a system?