## Mathematical modelling and analysis of fish population dynamics in acidified lakes with liming activities

 dc.contributor.author Luhaga, Lucas dc.date.accessioned 2019-10-25T17:32:46Z dc.date.accessioned 2020-01-07T15:01:18Z dc.date.available 2019-10-25T17:32:46Z dc.date.available 2020-01-07T15:01:18Z dc.date.issued 2013 dc.description Available in print copy en_US dc.description.abstract Acidic rain is a great threat in the world. It kills the fish and other aquatic species in our lakes. In this study, a mathematical model is developed to study the analysis of the fish population dynamics by taking into account the effects of acidic chemicals on the fish population and the effects of application of liming on it. Also the model is developed by incorporating the Holling type II harvest term as the control parameter of the fishing activities. Using stability theory of Ordinary Differential Equations (ODE), the four non trivial equilibria are determined in which equilibrium point 0E is locally asymptotically stable, 1E is locally unstable, 2E is locally asymptotically stable whereas the equilibrium point 3E is globally unstable.From numerical simulation (Computer simulation through Matlab program) of the model, it is shown that due to application of liming (effort) in the acidified lakes, the amount of acid chemicals is reduced to a permisible level to restore our fish population and other aquatic species from extinction. Moreover, the Holling type II harvest term in the model limits the number of fish harvesting to half its value. en_US dc.identifier.citation Luhaga, L.(2013). Mathematical modelling and analysis of fish population dynamics in acidified lakes with liming activities. Master dissertation, university of Dar es Salaam. Available at (http://41.86.178.3/internetserver3.1.2/search.aspx?formtype=advanced) en_US dc.identifier.uri http://localhost:8080/xmlui/handle/123456789/1011 dc.language.iso en en_US dc.publisher University of Dar es Salaam en_US dc.subject Fish populations en_US dc.subject Fishes en_US dc.subject Population dynamics en_US dc.subject Acidified Lakes en_US dc.subject Mathematical models en_US dc.title Mathematical modelling and analysis of fish population dynamics in acidified lakes with liming activities en_US dc.type Thesis en_US