Coevolution is the form of evolution in which the evolution of one species reciprocally affects the evolution of the other species, in simpler terms we can say that is a type of evolution in which one species' evolution is dependent on the other.
Extinction is the process where a particular species cease to exist.
Convergentevolution is the type of coevolution in which two species which are not related to each other evolve to adapt similar traits as they live in similar ecological niches.
Adaptiveradiation is a process in which a species rapidly diversifies into different types and occupies newer areas.
Based on all these definition it is clear that according to the question, the case is of <em>coevolution</em>.