Now if his gums are a bit sticky, this does suggest that this diarrhea is starting to dehydrate him, so we need to tread with care. Now if he did have ham (which can be quite salty), this could be upsetting his gut but as it is also quite fatty this could be a pancreatitis we have here. Of course,we can also see appetite loss (usually nausea induced, even without vomiting) and diarrhea related to gut infections and general dietary indiscretions. As well, at his age we can also see this with organ issues (ie kidney, liver), metabolic issues and cancer but hopefully those aren't the case for Frankie.
With this all in mind, as long as he can keep water down, we can try some home supportive care to try to settle his stomach. To start, we can try to counter the nausea causing anorexia with an OTC pet safe antacid [ie Pepcid (More Info/Dose @http://www.petplace.com/article/drug-library/library/over-the-counter/famotidine-pepcid), Zantac (More Info/Dose @ http://www.petplace.com/article/drug-library/library/over-the-counter/ranitidine-hcl-zantac), Tagamet (More Info/Dose Here @ http://www.petplace.com/article/drug-library/library/over-the-counter/cimetidine-hcl-tagamet)]. Whichever you choose, we’d give this 20 minutes before offering food to allow absorption. Of course, do double check with your vet if he has a known health issues or is on any medications you haven't mentioned.
Once he is more settled, you can plan to tempt with small meals of a light/easily digestible diet. Examples you can use are cooked white rice with boiled chicken, boiled white fish, or scrambled eggs, or meat baby food (garlic/onion free only). The aim of these diets is that they will be better tolerated/absorbed by the compromised gut. Therefore, it should get more nutrients in and result in less GI upset, help with pancreatitis and also reduce diarrhea. Fiber (ie canned pumpkin) and OTC canine probiotics (ie Benebac, Fortiflora) can also be used to firm the stools quicker and support the gut.
Furthermore, since it is so watery, you can use an OTC Kaolin/Kaopectate (More Info/Dose @ http://www.petplace.com/article/drug-library/library/over-the-counter/kaolin-and-pectin-kapectolin-k-p)). Or Kaolin/probiotic pastes like Propectalin, Canikur, Fast Balance, and Protexin Pro-Fiber (which is available OTC at vets, pet stores, and even Amazon) would be another option we could use.
Finally, since you noted Frankie's gums are getting sticky, we'd want to check for other signs of dehydration. Further to checking for gum moisture, you will want to make sure his eyes are not looking sunken and that he doesn’t have a "skin tent" when you lift the skin. To see how to check these, you can find a good video HERE (http://www.ehow.com/video_12232503_dog-dehydrated.html). If you do see any of these signs already, then that would be our cue to have him seen before this becomes an additional issue (especially since its often dehydration that makes them feel unwell).
Overall, a wide range of agents could trigger the signs we are seeing for your lad. Therefore, we’d want to start supportive care to try to settle his stomach.If the ham has just upset the gut, this may be all we need. But if he appears dehydrated already or doesn’t respond to the above within 12-24 hours; then we'd want to get his vet involved. They can assess his hydration, start injectable anti-nausea medication, fluids, +/- antibiotics to get him back feeling like himself.
Please take care,
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