The dynamics of a fish population is described by the Richard's growth law dN N rN1...

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The dynamics of a fish population is described by the Richard's growth law dN N rN1 dt (1) K where N = N(1) is the population size depending on the continuous time variable t, and r and K are positive constants. (iv) If the fish is subjected to constant effort harvesting E, the model (1) is modified as dN = rN dt - EN. K (2) Sketch the graph of the function in the right hand side of the equation (2) for several values of E 2 0. Use your graph to explain how the population will respond to harvesting. [6 marks] (v) Find the maximum sustainable yield of the fish population described by the model given by the equation (2). [9 marks] The dynamics of a fish population is described by the Richard's growth law dN N rN1 dt (1) K where N = N(1) is the population size depending on the continuous time variable t, and r and K are positive constants. (iv) If the fish is subjected to constant effort harvesting E, the model (1) is modified as dN = rN dt - EN. K (2) Sketch the graph of the function in the right hand side of the equation (2) for several values of E 2 0. Use your graph to explain how the population will respond to harvesting. [6 marks] (v) Find the maximum sustainable yield of the fish population described by the model given by the equation (2). [9 marks] The dynamics of a fish population is described by the Richard's growth law dN N rN1 dt (1) K where N = N(1) is the population size depending on the continuous time variable t, and r and K are positive constants. (iv) If the fish is subjected to constant effort harvesting E, the model (1) is modified as dN = rN dt - EN. K (2) Sketch the graph of the function in the right hand side of the equation (2) for several values of E 2 0. Use your graph to explain how the population will respond to harvesting. [6 marks] (v) Find the maximum sustainable yield of the fish population described by the model given by the equation (2). [9 marks] The dynamics of a fish population is described by the Richard's growth law dN N rN1 dt (1) K where N = N(1) is the population size depending on the continuous time variable t, and r and K are positive constants. (iv) If the fish is subjected to constant effort harvesting E, the model (1) is modified as dN = rN dt - EN. K (2) Sketch the graph of the function in the right hand side of the equation (2) for several values of E 2 0. Use your graph to explain how the population will respond to harvesting. [6 marks] (v) Find the maximum sustainable yield of the fish population described by the model given by the equation (2). [9 marks] The dynamics of a fish population is described by the Richard's growth law dN N rN1 dt (1) K where N = N(1) is the population size depending on the continuous time variable t, and r and K are positive constants. (iv) If the fish is subjected to constant effort harvesting E, the model (1) is modified as dN = rN dt - EN. K (2) Sketch the graph of the function in the right hand side of the equation (2) for several values of E 2 0. Use your graph to explain how the population will respond to harvesting. [6 marks] (v) Find the maximum sustainable yield of the fish population described by the model given by the equation (2). [9 marks] The dynamics of a fish population is described by the Richard's growth law dN N rN1 dt (1) K where N = N(1) is the population size depending on the continuous time variable t, and r and K are positive constants. (iv) If the fish is subjected to constant effort harvesting E, the model (1) is modified as dN = rN dt - EN. K (2) Sketch the graph of the function in the right hand side of the equation (2) for several values of E 2 0. Use your graph to explain how the population will respond to harvesting. [6 marks] (v) Find the maximum sustainable yield of the fish population described by the model given by the equation (2). [9 marks] The dynamics of a fish population is described by the Richard's growth law dN N rN1 dt (1) K where N = N(1) is the population size depending on the continuous time variable t, and r and K are positive constants. (iv) If the fish is subjected to constant effort harvesting E, the model (1) is modified as dN = rN dt - EN. K (2) Sketch the graph of the function in the right hand side of the equation (2) for several values of E 2 0. Use your graph to explain how the population will respond to harvesting. [6 marks] (v) Find the maximum sustainable yield of the fish population described by the model given by the equation (2). [9 marks] The dynamics of a fish population is described by the Richard's growth law dN N rN1 dt (1) K where N = N(1) is the population size depending on the continuous time variable t, and r and K are positive constants. (iv) If the fish is subjected to constant effort harvesting E, the model (1) is modified as dN = rN dt - EN. K (2) Sketch the graph of the function in the right hand side of the equation (2) for several values of E 2 0. Use your graph to explain how the population will respond to harvesting. [6 marks] (v) Find the maximum sustainable yield of the fish population described by the model given by the equation (2). [9 marks] The dynamics of a fish population is described by the Richard's growth law dN N rN1 dt (1) K where N = N(1) is the population size depending on the continuous time variable t, and r and K are positive constants. (iv) If the fish is subjected to constant effort harvesting E, the model (1) is modified as dN = rN dt - EN. K (2) Sketch the graph of the function in the right hand side of the equation (2) for several values of E 2 0. Use your graph to explain how the population will respond to harvesting. [6 marks] (v) Find the maximum sustainable yield of the fish population described by the model given by the equation (2). [9 marks] The dynamics of a fish population is described by the Richard's growth law dN N rN1 dt (1) K where N = N(1) is the population size depending on the continuous time variable t, and r and K are positive constants. (iv) If the fish is subjected to constant effort harvesting E, the model (1) is modified as dN = rN dt - EN. K (2) Sketch the graph of the function in the right hand side of the equation (2) for several values of E 2 0. Use your graph to explain how the population will respond to harvesting. [6 marks] (v) Find the maximum sustainable yield of the fish population described by the model given by the equation (2). [9 marks]

Answer rating: 100% (QA)

Graph of dNdt for various values of E is shown below ... View the full answer