The entry of any dog or cat upon any public or private property within the limits of the City, other than the property of the owner or person in charge or control of such dog or cat shall constitute running at large, unless such dog or cat, is securely leashed or under such control by a reasonable person as to prevent the animal from being or creating a nuisance. No person, being the owner or in charge or control of any dog or cat shall permit such animal to run at large within the City limits.