A Two Species Amensalism Model with a Linearly Varying Cover on the First Species

2017 ◽  
Vol 9 (4) ◽  
pp. 511
Author(s):  
Sita B. Rambabu ◽  
Lakshmi K Narayan
Keyword(s):  
Amensalism Model

scholarly journals Dynamical analysis of an aquatic amensalism model with non-selective harvesting and Allee effect

2021 ◽  
Vol 18 (6) ◽  
pp. 8857-8882
Author(s):  
Huanyi Liu ◽  
◽  
Hengguo Yu ◽  
Chuanjun Dai ◽  
Zengling Ma ◽  
...  
Keyword(s):  
Allee Effect ◽  
Equilibrium Points ◽  
Transcritical Bifurcation ◽  
Critical Conditions ◽  
Inhibition Mechanism ◽  
Algicidal Bacteria ◽  
Saddle Node Bifurcation ◽  
Selective Harvesting ◽  
Saddle Node ◽  
Amensalism Model

<abstract><p>In this paper, in order to explore the inhibition mechanism of algicidal bacteria on algae, we constructed an aquatic amensalism model with non-selective harvesting and Allee effect. Mathematical works mainly gave some critical conditions to guarantee the existence and stability of equilibrium points, and derived some threshold conditions for saddle-node bifurcation and transcritical bifurcation. Numerical simulation works mainly revealed that non-selective harvesting played an important role in amensalism dynamic relationship. Meanwhile, we proposed some biological explanations for transcritical bifurcation and saddle-node bifurcation from the aspect of algicidal bacteria controlling algae. Finally, all these results were expected to be useful in studying dynamical behaviors of aquatic amensalism ecosystems and biological algae controlling technology.</p></abstract>

scholarly journals A Two Species Amensalism Model with Harvesting by Homotopy Analysis Method

2012 ◽  
Vol 1 ◽  
pp. 33-39
Author(s):  
B. Sita Rambabu ◽  
K. Lakshmi Narayan ◽  
Sahanaz Bathul
Keyword(s):  
Linear System ◽  
Numerical Simulations ◽  
Homotopy Analysis Method ◽  
Series Solution ◽  
Analytical Study ◽  
Limited Resources ◽  
Analysis Method ◽  
Homotopy Analysis ◽  
Non Linear System ◽  
Amensalism Model

In this paper a two species Amensalism model is taken up for analytical study. The model comprises an Amensal, which is harvested at a rate proportional to their population and an enemy. Moreover both the species are provided with limited resources. The series solution of the non-linear system was approximated by the Homotopy analysis method (HAM) and the results are supported by numerical simulations.

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