An illness caused by an infectious agent or its toxic products that are transmitted directly or indirectly to a well person through an agency, and a vector or an inanimate object.

The question seems to be asking for a definition rather than a question. However, based on the description provided, it appears to be describing a communicable disease. Here's a step-by-step breakdown of the definition:

1. "An illness caused by an infectious agent or its toxic products": This refers to diseases that are caused by pathogens such as bacteria, viruses, fungi, or parasites. These pathogens can produce toxins that cause illness in humans.

2. "Transmitted directly or indirectly to a well person": This refers to the method of transmission of the disease. Direct transmission occurs when the disease is passed on from an infected person to a healthy person through close contact. Indirect transmission occurs when the disease is transmitted through a medium such as air, water, or food.

3. "Through an agency, and a vector or an inanimate object": This refers to the different ways a disease can be transmitted. An agency could refer to a biological vector like a mosquito that carries the disease from an infected person to a healthy person. An inanimate object, also known as a fomite, could also transmit disease if it is contaminated with the pathogen.

So, in summary, the description provided is referring to a communicable disease, which is an illness caused by an infectious agent or its toxic products that can be transmitted directly or indirectly from an infected person to a healthy person through various means.