Ecological Models

ABSTRACT

    This paper will briefly discuss about logistic growth model that is affected by harvesting.

DISCUSSION OF VARIABLE

    The equation for the logistic growth model that is affected by harvesting is

Equation(1)



 
 
 

where x is the carrying capacity of the population, (a-bx) is the per unit of time, a and b are non negative constants, q is the maximum amount of vegetation eaten per head of cattle per day, d is the plant population at which the animal is 95%full, and s is the number of head of cattle stocked.  Thus h(x) is a harvest rate and has units of vegetation per day. From the Equation (1), the function, (a-bx), is the linear decreasing function ,and h(x) is the harvest rate.  The equation basically expresses that the change in population is in terms of the harvest rate and the growth rate of the population.  Furthermore,  in depth analysis can be analyzed at here.
 
 

REFERENCE

BASIC ECOLOGICAL MODELS
http://www.sci.wsu.edu/idea/Logistic/ecology.html