Fibonacci Sequence in reproduction
Maths C-Rabbits Report
In order to calculate a certain term (number of months starting from January) the two previous terms must be known. These are then added together to give the desired month.
The table below shows the rabbit’s breeding numbers throughout the whole year.
The Mathematical recursive formula that represents this is:
Where: Tn= The desired month (January-1, February-2, March-3, and so on) and where Tn>3
It can be clearly seen from the graph that the pattern/structure is exponential. This is due to the previous numbers being added in succession with the next, resulting in the ‘gap’ between each number to increase.
The trend in which the numbers follow is called a Fibonacci sequence and is often found in nature as well.
Many instances in which the Fibonacci Series is present in nature are that a lot of flowers and cone shaped structures have the number of petals as one of the Fibonacci numbers. However some plants such as the sneezewort plant (as seen left) can be seen demonstrating the Fibonacci pattern in succession. It happens on both the number of stems and number of leaves.
Another appearance of the Fibonacci Series in nature is that a lot of flowers and cone shaped structures have the number of petals as one of the Fibonacci numbers. This includes the pineapple shown to the left. The number of spirals going in each direction is a Fibonacci number. For example, there are 13 spirals that turn clockwise and 21 curving counter clockwise. On all other sunflowers, the number of clockwise and counter clockwise spirals will always be consecutive Fibonacci Numbers like 21 and 34 or 55 and 34.
Due to the rabbits’ problem not being very realistic, there are some concerns about the accurateness (limitations) of the formula/model. Natural diseases and deaths are not accounted for in the trend, which means if there was a sudden wipe-out in rabbits, the
In order to calculate a certain term (number of months starting from January) the two previous terms must be known. These are then added together to give the desired month.
The table below shows the rabbit’s breeding numbers throughout the whole year.
The Mathematical recursive formula that represents this is:
Where: Tn= The desired month (January-1, February-2, March-3, and so on) and where Tn>3
It can be clearly seen from the graph that the pattern/structure is exponential. This is due to the previous numbers being added in succession with the next, resulting in the ‘gap’ between each number to increase.
The trend in which the numbers follow is called a Fibonacci sequence and is often found in nature as well.
Many instances in which the Fibonacci Series is present in nature are that a lot of flowers and cone shaped structures have the number of petals as one of the Fibonacci numbers. However some plants such as the sneezewort plant (as seen left) can be seen demonstrating the Fibonacci pattern in succession. It happens on both the number of stems and number of leaves.
Another appearance of the Fibonacci Series in nature is that a lot of flowers and cone shaped structures have the number of petals as one of the Fibonacci numbers. This includes the pineapple shown to the left. The number of spirals going in each direction is a Fibonacci number. For example, there are 13 spirals that turn clockwise and 21 curving counter clockwise. On all other sunflowers, the number of clockwise and counter clockwise spirals will always be consecutive Fibonacci Numbers like 21 and 34 or 55 and 34.
Due to the rabbits’ problem not being very realistic, there are some concerns about the accurateness (limitations) of the formula/model. Natural diseases and deaths are not accounted for in the trend, which means if there was a sudden wipe-out in rabbits, the