Dynamical study of native and exotic competing populations: Effects of habitat destruction

• Modelling effects of habitat destruction on native and exotic competing species system is carried out.
• Favourable habitat characteristic increases the equilibrium level of species in the system.
• Equilibrium level of habitat characteristic increases due to better rainfall.
• Equilibrium level of native species increases if the habitat destruction is less under the favourable habitat characteristic.
• Model for case B may be fitted for the Saltcedar and Cottonwood species in Western America and Mexico.

In this paper, mathematical models have been studied to investigate the survival of native species and exotic species when the hydrological conditions and habitat characteristics both are changing for constant input of rainfall. The local and global stability analysis of the equilibrium points is carried out. From the analysis it is concluded that if habitat characteristic is favourable for native species then equilibrium level of native species increase and equilibrium level of exotic species decrease due to increase of constant introduction of rainfall. If habitat characteristic is favourable for exotic species then equilibrium level of exotic species increase and equilibrium level of native species decrease due to increase of constant introduction of rainfall. It is also observed that the equilibrium level of native species increases if the habitat destruction is less under the favourable habitat characteristic but on the contrary the equilibrium level of exotic species increases if the habitat destruction is more even when the habitat characteristic is not favourable to exotic species. Finally the numerical simulation is also carried out to support the analytical results.