Holmstrom Fiber sequence

Let $C$ be a Pointed model category. A fiber sequence in $Ho \ C$ is a diagram $X \to Y \to Z$ in $Ho \ C$ together with a right action of $\Omega Z$ on $X$ that is IMic in $Ho \ C$ to a diagram of the form $F \displaystyle_{\longrightarrow}^{\ i} E \displaystyle_{\longrightarrow}^{\ p} B$ where $p$ is a fibration of fibrant objects in $C$ with fiber $i$ and where $F$ has the standard right action by $\Omega B$.

To a fiber sequence one can associate a boundary map $\partial: \Omega Z \to X$. See Hovey p. 156.

Fiber sequences have properties dual to those of a Cofiber sequence

nLab page on Fiber sequence