logistic equation การใช้

• The logistic equation assumes that density dependence takes the form of negative feedback.
• First, one assumes that the growth of the prey population is determined by the logistic equation.
• Using these techniques, Malthus'population principle of growth was later transformed into a mathematical model known as the logistic equation:
• In a paper published in 1845 he called the solution to this the logistic function, and the equation is now called the logistic equation.
• Because of this structure, the model can be considered as the discrete-time analogue of the continuous-time Verhulst; for comparison, the logistic equation is
• However, as " N ( t ) " approaches the carrying capacity the second term in the logistic equation becomes smaller, reducing the rate of change of population density.
• Although the continuous-time logistic equation is often compared to the logistic map because of similarity of form, it is actually more closely related to the Beverton Holt model of fisheries recruitment.
• The horizontal axis shows the possible values of the parameter while the vertical axis shows the set of values of visited asymptotically from almost all initial conditions by the iterates of the logistic equation with that value.
• The logistic map is a polynomial mapping, often cited as an archetypal example of how Robert May, in part as a discrete-time demographic model analogous to the logistic equation first created by Pierre Fran鏾is Verhulst.
• Hi there-I was wondering where the difference arises in the behaviour or the logistic map and the logistic equation-in the discrete case of the difference equation, we get instability and periodic oscillation of order 2, 4, etc . . . for r > 3, but there is no such counterpart in the differential equation-the point'0'remains unstable in both cases, but the other equilibrium point is always stable for the differential equation-why is this?