Books have been written on this topic. Indeed, the presence of invasive species brings complexity to conservation and the politics thereof.
So much effort and time have been dedicated to alien species, both (often first) in propagating them, and (later) trying to eradicate them.
The majority of alien species never take off and fail to establish when introduced, and in many cases are maintained only by human attention and care (hybrid rose cultivars come to mind).
Others spread beyond human control, due to suitable environmental conditions (climate, soil, etc). In many cases however, they are simply responding to the changes humankind has already made to the landscape. Many native species will never grow in hard, compacted soil, but the alien dandelion will. Many native species will also not germinate in areas that might otherwise by suitable, because mankind has changed the chemistry of the soil (due to agricultural activities and/or pollution). Water hyacinth loves waterways that are high in nutrients, so it will spread in lakes and rivers with high agricultural run-off and sewage. In other words, they are simply filling in the empty niches available. In such cases, is the alien āinvasiveā species really taking over from the native vegetation, when mankind has already made conditions unsuitable for the latter?
Some species are invasive because they proliferate without some form of control, whether that is a pathogen or a herbivore. An example is the invasive species Mimosa pigra from the Neotropics, which had invaded Gorongosa National Park in Mozambique. Researchers found that this species decreased dramatically after the recovery of the parkās large herbivores.
Other invasive species have been brought in by mankind and are useful economically, and if removed will impact the livelihoods of people who may depend on it. These species include prickly pear, eucalyptus, etc.
Ironically, this means that some species get labelled as invasive when they actually would otherwise mitigate the ecological impact of the economically useful alien species. Here I am thinking of various insects that attack economically useful but ecologically harmful species including pines and eucalyptus, such as the Sirex woodwasp and eucalyptus longhorn beetle.
And as noted, rare and endangered native species may come to depend on alien species for survival. An example is the willow flycatcher with tamarisk, and various cases where the alien species created conditions suitable for native species to live and thrive in.
The presence of invasive species often tells more about peopleās mindsets, attitudes, and actions, than it does about the actual impact of the species in question.
One thing is for sure: many alien species are here to stay and there are few places in the world where not one alien species has established due to human presence. There is no turning back the clock. Some alien species are minor, while others that are brought under some form of biocontrol can naturalise into the local community. Others may be problematic for years or decades to come as long as conditions favourable to them remain.