Q.120) the logistic population growth is expressed by the equation
Answers
The continuous version of the logistic model is described by the differential equation
The continuous version of the logistic model is described by the differential equation (dN)/(dt)=(rN(K-N))/K,
The continuous version of the logistic model is described by the differential equation (dN)/(dt)=(rN(K-N))/K, (1)
The continuous version of the logistic model is described by the differential equation (dN)/(dt)=(rN(K-N))/K, (1)where r is the Malthusian parameter (rate of maximum population growth) and K is the so-called carrying capacity (i.e., the maximum sustainable population). Dividing both sides by K and defining x=N/K then gives the differential equation
The continuous version of the logistic model is described by the differential equation (dN)/(dt)=(rN(K-N))/K, (1)where r is the Malthusian parameter (rate of maximum population growth) and K is the so-called carrying capacity (i.e., the maximum sustainable population). Dividing both sides by K and defining x=N/K then gives the differential equation (dx)/(dt)=rx(1-x),
The continuous version of the logistic model is described by the differential equation (dN)/(dt)=(rN(K-N))/K, (1)where r is the Malthusian parameter (rate of maximum population growth) and K is the so-called carrying capacity (i.e., the maximum sustainable population). Dividing both sides by K and defining x=N/K then gives the differential equation (dx)/(dt)=rx(1-x), (2)
The continuous version of the logistic model is described by the differential equation (dN)/(dt)=(rN(K-N))/K, (1)where r is the Malthusian parameter (rate of maximum population growth) and K is the so-called carrying capacity (i.e., the maximum sustainable population). Dividing both sides by K and defining x=N/K then gives the differential equation (dx)/(dt)=rx(1-x), (2)which is known as the logistic equation and has solution
The continuous version of the logistic model is described by the differential equation (dN)/(dt)=(rN(K-N))/K, (1)where r is the Malthusian parameter (rate of maximum population growth) and K is the so-called carrying capacity (i.e., the maximum sustainable population). Dividing both sides by K and defining x=N/K then gives the differential equation (dx)/(dt)=rx(1-x), (2)which is known as the logistic equation and has solution x(t)=1/(1+(1/(x_0)-1)e^(-rt)).
The continuous version of the logistic model is described by the differential equation (dN)/(dt)=(rN(K-N))/K, (1)where r is the Malthusian parameter (rate of maximum population growth) and K is the so-called carrying capacity (i.e., the maximum sustainable population). Dividing both sides by K and defining x=N/K then gives the differential equation (dx)/(dt)=rx(1-x), (2)which is known as the logistic equation and has solution x(t)=1/(1+(1/(x_0)-1)e^(-rt)).