Check to see if you have CC&RS recorded against the properties in the community. They may specifically preclude your neighbors actions regarding the animals.
Also, it sounds like your neighbor is creating a nuisance which the court can restrain.
I'd contact a real estate attorney and ask him or her send a firm demand to your neighbor to cease and desist or face injunction proceedings.
Do you have evidence that you can show that the animals are causing trouble in you community? If none yet, better obtain this kind of evidence to support your case. Then I suggest that you hire a lawyer to assist you with this. Good luck