Two herds of vicious animals are fighting each other to the death. During the fight, the
Chapter 9, Problem 45(choose chapter or problem)
Two herds of vicious animals are fighting each other to the death. During the fight, the populations J t ( f ) and y(t) of the two species can be modeled by the following system:.2 = - 4 y dx ~dtdy_ dt a. What is the significance of the constants 4 and 1 in these equations? Which species has the more vicious (or more efficient) fighters? b. Sketch a phase portrait for this system. c. Who wins the fight (in the sense that some individuals of that species are left while the other herd is eradicated)? How does your answer depend on the initial populations?
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