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Mutation Suppose that one of three different alleles is present in each individual in a population. In each generation the following happens: 5% of individuals carrying allele X mutate to carry allele Y, 3% mutate to allele Z, and the rest remain unchanged; 0.1% of individuals carrying allele Y mutate to carry allele Z and the rest remain unchanged; 90% of individuals carrying allele Z mutate to carry allele X and the rest remain unchanged.

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danishmallick97

Answer:

Please refer to the attachment below.

Step-by-step explanation:

Let us first consider the individual carrying allele X , Y and Z as Xt, Yt and Zt

Also consider that in each generation 5% mutate from X to Y and 3% mutate from X to Z, hence % of X alleles remains the same and it will be

= 100 - (5% + 3%) = 92%

Also consider that 0.1% mutate from Y to Z  hence, the percentage of Y alleles remain same and will be 99.9%

we also need to consider that mutation from Z to X is 90% hence 10% of Z alleles remains indifferent

Now the difference equations describing the system will be

Xt+1 = 0.92Xt + 0.92Zt

Yt+1 = 0.05Xt + 0.999Yt

Zt+1 = 0.03Xt + 0.01Yt + 0.1Zt

or

Xt+1 = 0.92Xt + 0.000Yt + 0.9Zt

Yt+1 = 0.05Xt + 0.999Yt + 0.0Zt

Zt+1 = 0.03Xt + 0.01Yt + 0.1Zt

(The final matrix in given in the attachments)

Ver imagen danishmallick97

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