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Case without interaction
Storyboard 
To facilitate the analysis, one can first consider a species within the ecosystem as if there were no others and solve the model to understand the behavior.
Under this concept we realize that every species is restricted to the existence of resources that it requires to survive. In this sense, every species is limited in its development, even in the case in which it is argued that it has no natural enemies.
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Case without interaction
Storyboard
To facilitate the analysis, one can first consider a species within the ecosystem as if there were no others and solve the model to understand the behavior.\n\nUnder this concept we realize that every species is restricted to the existence of resources that it requires to survive. In this sense, every species is limited in its development, even in the case in which it is argued that it has no natural enemies.\n
Variables
Calculations
to 
,
then, select the variable: 
to 
Calculations
Variable
Given
Calculate
Target :
Equation
To be used
Equations
Examples
The equation
tends to an asymptotic solution equal to
$\displaystyle\frac{dn}{dt}\sim r n$
which only makes sense if the
Therefore, the model only makes sense if
the factor $r_i$ is always positive
and
the diagonal factor (self-interaction) $\alpha_{ii}$ is negative
The latter can be understood in the context that an excessive increase will be slowed down by resources not associated with a species (for example, space, light, chemicals, etc.).
If only one species is assumed to exist, the equation
reduces to the equation
since the remaining populations, including the mixed terms in
The equation
with the condition
can be solved by giving us the solution
where
ID:(1897, 0)