no.... it depends what you mean... but technically no...
An ecosystem is a place where plants and animals ( maybe humans ) live and animals and plants live in the desert so … 
It's an Ecosystem because it helps so animals and insects survive.
Animals and living thing such as cactus and the fox.
No.
The desert ecosystem has all the same seasons as any normal place it is just warm all the time.
well yes because plants and animals live there.
Libya is primarily a desert country, and has a typical desert ecosystem with a few plants, save around oases, and numerous animals that are nocturnal and burrow to avoid the daily heat.
The major ecosystem in this desert is "Terrestrial ecosystem" .
yes from dry to dryer
The desert does have an ecosystem. Although it does not have as much life as other ecosytems, things still live and even thrive in a desert environment.
over time, it will change by the weather that the desert has or the animals that will come in from time to time. as you may know, only certain animals live in it. so yes, it changes with the weather, the animals, and how things grow in the desert
yes every ecosystem have eggs the animals have to lay eggs estuaries ocean desert lake ocean every one