A forest is inhabited by rabbits and foxes. Every year, each rabbit gives birth to 7 babies and each fox gives birth to 2 babies on average. Foxes try to catch and eat rabbits; each month, each fox has a 3% chance of catching each of the rabbits present in the forest. Each month, every fox that does not eat a rabbit starves to death. Write the differential equations for the number of foxes and rabbits in the forest.

A forest is inhabited by rabbits and foxes. Every year, each rabbit gives birth to 7 babies and each fox gives birth to 2 babies on average. Foxes try to catch and eat rabbits; each month, each fox has a 3% chance of catching each of the rabbits present in the forest. Each month, every fox that does not eat a rabbit starves to death. Write the differential equations for the number of foxes and rabbits in the forest.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

A forest is inhabited by rabbits and foxes. Every year, each rabbit gives birth to 7 babies and each fox gives
birth to 2 babies on average. Foxes try to catch and eat rabbits; each month, each fox has a 3% chance of
catching each of the rabbits present in the forest. Each month, every fox that does not eat a rabbit starves
to death. Write the differential equations for the number of foxes and rabbits in the forest.

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