= Solution
The term $ru$ is unrestricted growth of species $u$, and $-ru^2$ represents its density-dependent self-limitation, with scaled <carrying capacity> one. The interaction $-ruv$ suppresses $u$ in the presence of species $v$.
Species $v$ has intrinsic growth $v$ and suppression $-\beta uv$ by $u$. Thus both interspecific effects are harmful: this is a <competition model>, with no self-limitation term for $v$. Its unbounded growth when $u$ disappears is a consequence of that modeling choice. The parameter $r$ is the growth-time ratio, while $\beta$ measures the effect of $u$ on $v$.
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