@Preben Alsholm  NO Problem Sir. Thank you for everything,  You have my respect👍

@Preben Alsholm Thank you very much for pointing this out. You have shared so much.  

Please kindly show me how to analytically  solve for  a stochastic  version of the above  model   in mapple?

@Preben Alsholm Noted and implemented,SCI_1D_math.mw  .  Thank you for helping me with this.

@tomleslie Thank you very much 

@Preben Alsholm I have tried it multiple times but i keep getting errors like:

Error, cannot split rhs for multiple assignment

Error, (in rtable/power) numeric exception: division by zero

Please help

 SCI_help_Progresses.mw

@Preben Alsholm thank you I will try it.

@Preben Alsholm, Thank you. I have tried it here SCI_help_Progresses.mw  . I meant if you will kindly illustrate how to solve for the basic reproduction number symbolically from the model equations. Similar to this 

@Preben Alsholm

 i have noted your corrections with that of @tomleslie and arrive at the following  SCI_help_continues.mw . If correct, How can i arrive at the equilibrium and basic reproduction number 

@Preben Alsholm, REMARKABLE , THANK YOU SO MUCH, I WILL MAKE THAT CORRECTION PROMPTLY.

@tomleslie thank you good Sir. 

the plan was to solve analytically and then numerically. I have re attached my journey so far. SCI_HELP.mw  tring to follow the works of k2007 thank you 

@Carl Love 

yes the the second Q[1] is supposed to be Q[2].i have modified it and reattached it. thank you  SCI_HELP.mw