Constrained population growth of bacteria and amoebae is governed by the following: The amoebae will decrease...

 

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Constrained population growth of bacteria and amoebae is governed by the following: •The amoebae will decrease by 150% if left undisturbed. The bacteria will increase by 80% if left undisturbed. . The amoebae will eat the bacteria reducing their, the bacteria's, numbers by 30%. ⚫The amoebae will increase by 20% when bacteria are present. a) (20%) Model the system and plot it over 4 hours. The initial amount of bacteria is 5 billion and of amoebae is 1 billion. Use a step size of 0.0001. b) (5%) Find the time when the bacteria population is at maximum. Constrained population growth of bacteria and amoebae is governed by the following: •The amoebae will decrease by 150% if left undisturbed. The bacteria will increase by 80% if left undisturbed. . The amoebae will eat the bacteria reducing their, the bacteria's, numbers by 30%. ⚫The amoebae will increase by 20% when bacteria are present. a) (20%) Model the system and plot it over 4 hours. The initial amount of bacteria is 5 billion and of amoebae is 1 billion. Use a step size of 0.0001. b) (5%) Find the time when the bacteria population is at maximum.