an ecosystem may be defined as a system formed by the interaction of a community of organisms with their physical environment.  Inasmuch as we humans 'interact' with our environment by altering it, and in some cases distroying it, your question has value.  To include any other organism in the equation we must admit first that the environment with which they interact is chosen by human beings.  Now, considering the fact that, left unchecked, the pattern of behavior currently most common among humans will lead to the demise of the species, it would behoove us to alter our interaction with what is rapidly becoming a toxic environment. To those who, like some animals, believe that ignoring the danger will lessen it, I can only remind them that the addition of 'un-natural' substances into the world has been going on since before the Roman Empire rose.  Six Billion people, all adding pollution to the planet at the same time can not be a good thing, Especially since the planet has never undergone such an event, at least not insofar as we are able to discern at this time.  Every predictive model has ended in disaster, some more horrible than others, but without hope of a 'happy ending'.

   We do not live in a 'natural' environment, we live in the situation we have created, often without thought as to the consequences of our actions.  We are soon to reap the reward of that pattern of action, not only our own actions, but the actions of our forebearers dating backward for centuries.  What the ultimate outcome will be no one can know, since there is no precedent, but we can look at fossil records and determine, in a broad sense, what may come.  The indications are that we will be living on a planet that is hot, arid, storm-ridden and perhaps has an atmosphere we cannot easily breathe.  Whatever the outcome, society will change drastically, there will not be enough food or water to supply the population, until enough people have died to exist within the 'ecosystem' that arises.

Nature is resilient, and life endures.  Whether or not Man will be included in the future of life on this planet is another question altogether.  It is, perhaps, a question that needs to be explored.