# -*- coding: utf-8 -*-
"""
Created on Tue Feb  2 22:26:33 2016

@author: nemenman
"""


def Malthus(Population):
    """
    this function returns the growth rate of a simple exponential growth

    Malthus(Population)

        Population -- current population size
    """
    GrowthRate = 1.0
    return GrowthRate*Population


def MalthusForODE(Population, t, GrowthRate):
    """
    this function returns the growth rate of a simple exponential growth

    Malthus(Population,t,GrowthRate)

        Population -- current population size
        t -- time, unused
        GrowthRate -- population Growth Rate
    """
    return GrowthRate*Population


def MalthusCapacity(Population):
    """
    this function returns the growth rate of a simple exponential growth
    with carrying capacity

    Malthus(Population)
    """
    GrowthRate = 1e-9
    CarryingCapacity = 10
    return GrowthRate*Population*(CarryingCapacity-Population)


def MalthusCapacityParams(Population, GrowthRate, CarryingCapacity):
    """
    this function returns the growth rate of a simple exponential growth
    with carrying capacity

    Malthus(Population)
    """
    return GrowthRate*Population*(CarryingCapacity-Population)