Question

Difference between the estrous cycle and the menstrual cycle.

Answer 1

It is the main reproductive cycle of different species females of non-primate vertebrates, for instance, rats, mice, horses, pigs have this type of reproductive cycle.
The cycle in which the shedding of the uterine lining. In this cycle the levels of estrogen and progesterone are low.

Complete answer:

Menstrual cycle	Estrous cycle
It takes place in primates like monkeys, apes, and human beings only.	It takes place in non-primates for example cows, dogs, etc.
This cycle is composed of various phases that include the menstrual phase, the proliferative phase, and the secretory phase.	This cycle is of a short period of time called heat that continues to around 12-24 hours in a cow which is followed by an anoestrus or passive period.
The blood flows in the last few days of this cycle.	In this cycle, blood does not flow
The broken endometrium is passed out during menstruation.	The broken endometrium is reabsorbed.
The sex urge is not increased during menstruation.	The sex urge is increased during the estrous period.
Female does not permit copulation during the menstrual phase of the cycle.	Female permits copulation only during the estrous period

Additional Information:
In the estrous cycle, there are a variety of different forms:
Polyestrous Animals - In this animal, estrous cycles throughout the year for example cattle, pigs, mice, and rats.
Seasonally Polyestrous Animals - The animals that have multiple estrous cycles only during particular periods of the year for example horses, sheep, goats, deer, and cats.
Monestrous Animals - An animals that have one estrous cycle per year like dogs, wolves, foxes, and bear
During the menstrual cycle, the time between the first day of the period and ovulation is called the follicular phase. After the period, the uterine lining builds back up again is called the proliferative phase.

Note: When the egg is fertilized then progesterone from the corpus luteum helps the early pregnancy. If fertilization does not occur then the corpus luteum will start to break down between 9 and 11 days after ovulation. Due to this the drop in estrogen and progesterone levels, which is responsible for menstruation.