This question is in the biomathematics course

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4. (12 points) The interaction between two populations with densities M1 and N2 is modeled by dN1 = BN1 1 N1 dt K - aNIN2 ( 1 - e-YN1 ) dN2 = -8N2 + UN2( 1 - e-yN1 dt where B, a, 7, 6, u, K are all positive constants and 8 > M. Answer the following: 1. What type of interaction exists between Ni and N2, explain why? 2. What do the various terms imply ecologically? 3. Determine all equilibria of the model. 4. Discuss the stability of the equilibria. CS CamScanner ? bigis ingusall