# A Mathematical Model of Black Rhino Translocation Strategy

## Authors

• Dipo Aldila Department of Mathematics, Faculty of Mathematics and Natural Sciences University Indonesia, Depok 16424, Indonesia
• Ashleigh Jane Hutchinson School of Computational and Applied Mathematics, University of Witwatersrand, 1 Jan Smuts Avenue Braamfontein 2000, Johannesburg, South Africa
• Matthew Woolway School of Computational and Applied Mathematics, University of Witwatersrand, 1 Jan Smuts Avenue Braamfontein 2000, Johannesburg, South Africa
• Norman Owen-Smith School of Biological and Life Sciences, University of Witwatersrand, 1 Jan Smuts Avenue Braamfontein 2000, Johannesburg, South Africa
• Edy Soewono Department of Mathematics, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Jl. Ganesha 10, Bandung 40132, Indonesia

## Keywords:

black rhino, deterministic model, equilibrium points, South Africa, translocation strategy.

## Abstract

A deterministic mathematical model of the black rhino population in South Africa will be discussed. The model is constructed by dividing the black rhino population into multiple patches. The impact of human intervention on different translocation strategies is incorporated into the model. It is shown that, when implemented correctly, translocation can accelerate the growth rate of the total black rhino population. Equilibrium points are shown with their local stability criteria.

## References

Reid, C., Slotow, R., Howison, O. & Balfour, D., Habitat Changes Reduce the Carrying Capacity of Hluhluwe-iMfolozi Park, South Africa, for Critically Endangered Black Rhinoceros Diceros bicornis, Oryx,41(2), pp. 247-254, 2007.

Emslie, R.H., Workshop on Biological Management of Black Rhino. Pachyderm, 31, pp. 83-84, 2007.

Owen-Smith, N., African Rhino Conservation, Presentation at Mathematics in Industry Study Group, University of The Witwatersrand, South Africa, 2013.

IUCN 2012. IUCN Red List of Threatened Species, Version 2012.2.(http://www.iucnredlist.org), (21 January 2013).

Linklater, W.L. & Hutcheson, I.R., Black Rhinoceros are Slow to Colonize a Harvested Neighbour's Range, South African Journal of Wildlife Research, 40(1), pp. 58-63, 2010.

Hrabar, H. & du Toit, J.T., Dynamics of a Protected Black Rhino (Diceros bicornis) Population: Pilanesberg National Park, South Africa, Animal Conservation, 8, pp. 259-267, 2005.

2015-03-31

Articles