Tadele Y Egu | Hawassa College of Teacher Education, Ethiopia (original) (raw)
Papers by Tadele Y Egu
The hydra effect refers to the fact where increasing mortality rate on a population enhances its ... more The hydra effect refers to the fact where increasing mortality rate on a population enhances its own stock. In this study, we propose a dynamical system model of food chain with stable steady state, and analyze the variation of population biomass of targeted species with increasing mortality where the response function is Holling type III, II and III (Mixed). Furthermore, intra-specific competition among specialist top predator population is also included in the latter one and the effect of harvesting is studied in this mathematical model. We use Routh-Hurwitz stability conditions to analyze the local stability of coexistence equilibrium point. Propositions on local stability of the coexistence equilubrium point is shown for both tritrophic and four trophic level food chain models. Basically, in this research, it is shown in a stable food chain model whether density of a species increases in response to greater mortality when (a) Prey, intermediate predator, top predator in a tritrophic system is harvested or not.
Drafts by Tadele Y Egu
The hydra effect refers to the fact where increasing mortality rate on a population enhances its ... more The hydra effect refers to the fact where increasing mortality rate on a population enhances its own stock. In this study, we propose a dynamical system model of food chain with stable steady state, and analyze the variation of population biomass of targeted species with increasing mortality where the response function is Holling type III, II and III (Mixed). Furthermore, intra-specific competition among specialist top predator population is also included in the latter one and the effect of harvesting is studied in this mathematical model. We use Routh-Hurwitz stability conditions to analyze the local stability of coexistence equilibrium point. Propositions on local stability of the coexistence equilubrium point is shown for both tritrophic and four trophic level food chain models. Basically, in this research, it is shown in a stable food chain model whether density of a species increases in response to greater mortality when (a) Prey, intermediate predator, top predator in a tritrophic system is harvested or not.
The hydra effect refers to the fact where increasing mortality rate on a population enhances its ... more The hydra effect refers to the fact where increasing mortality rate on a population enhances its own stock. In this study, we propose a dynamical system model of food chain with stable steady state, and analyze the variation of population biomass of targeted species with increasing mortality where the response function is Holling type III, II and III (Mixed). Furthermore, intra-specific competition among specialist top predator population is also included in the latter one and the effect of harvesting is studied in this mathematical model. We use Routh-Hurwitz stability conditions to analyze the local stability of coexistence equilibrium point. Propositions on local stability of the coexistence equilubrium point is shown for both tritrophic and four trophic level food chain models. Basically, in this research, it is shown in a stable food chain model whether density of a species increases in response to greater mortality when (a) Prey, intermediate predator, top predator in a tritrophic system is harvested or not.
The hydra effect refers to the fact where increasing mortality rate on a population enhances its ... more The hydra effect refers to the fact where increasing mortality rate on a population enhances its own stock. In this study, we propose a dynamical system model of food chain with stable steady state, and analyze the variation of population biomass of targeted species with increasing mortality where the response function is Holling type III, II and III (Mixed). Furthermore, intra-specific competition among specialist top predator population is also included in the latter one and the effect of harvesting is studied in this mathematical model. We use Routh-Hurwitz stability conditions to analyze the local stability of coexistence equilibrium point. Propositions on local stability of the coexistence equilubrium point is shown for both tritrophic and four trophic level food chain models. Basically, in this research, it is shown in a stable food chain model whether density of a species increases in response to greater mortality when (a) Prey, intermediate predator, top predator in a tritrophic system is harvested or not.
The hydra effect refers to the fact where increasing mortality rate on a population enhances its ... more The hydra effect refers to the fact where increasing mortality rate on a population enhances its own stock. In this study, we propose a dynamical system model of food chain with stable steady state, and analyze the variation of population biomass of targeted species with increasing mortality where the response function is Holling type III, II and III (Mixed). Furthermore, intra-specific competition among specialist top predator population is also included in the latter one and the effect of harvesting is studied in this mathematical model. We use Routh-Hurwitz stability conditions to analyze the local stability of coexistence equilibrium point. Propositions on local stability of the coexistence equilubrium point is shown for both tritrophic and four trophic level food chain models. Basically, in this research, it is shown in a stable food chain model whether density of a species increases in response to greater mortality when (a) Prey, intermediate predator, top predator in a tritrophic system is harvested or not.
The hydra effect refers to the fact where increasing mortality rate on a population enhances its ... more The hydra effect refers to the fact where increasing mortality rate on a population enhances its own stock. In this study, we propose a dynamical system model of food chain with stable steady state, and analyze the variation of population biomass of targeted species with increasing mortality where the response function is Holling type III, II and III (Mixed). Furthermore, intra-specific competition among specialist top predator population is also included in the latter one and the effect of harvesting is studied in this mathematical model. We use Routh-Hurwitz stability conditions to analyze the local stability of coexistence equilibrium point. Propositions on local stability of the coexistence equilubrium point is shown for both tritrophic and four trophic level food chain models. Basically, in this research, it is shown in a stable food chain model whether density of a species increases in response to greater mortality when (a) Prey, intermediate predator, top predator in a tritrophic system is harvested or not.
The hydra effect refers to the fact where increasing mortality rate on a population enhances its ... more The hydra effect refers to the fact where increasing mortality rate on a population enhances its own stock. In this study, we propose a dynamical system model of food chain with stable steady state, and analyze the variation of population biomass of targeted species with increasing mortality where the response function is Holling type III, II and III (Mixed). Furthermore, intra-specific competition among specialist top predator population is also included in the latter one and the effect of harvesting is studied in this mathematical model. We use Routh-Hurwitz stability conditions to analyze the local stability of coexistence equilibrium point. Propositions on local stability of the coexistence equilubrium point is shown for both tritrophic and four trophic level food chain models. Basically, in this research, it is shown in a stable food chain model whether density of a species increases in response to greater mortality when (a) Prey, intermediate predator, top predator in a tritrophic system is harvested or not.
The hydra effect refers to the fact where increasing mortality rate on a population enhances its ... more The hydra effect refers to the fact where increasing mortality rate on a population enhances its own stock. In this study, we propose a dynamical system model of food chain with stable steady state, and analyze the variation of population biomass of targeted species with increasing mortality where the response function is Holling type III, II and III (Mixed). Furthermore, intra-specific competition among specialist top predator population is also included in the latter one and the effect of harvesting is studied in this mathematical model. We use Routh-Hurwitz stability conditions to analyze the local stability of coexistence equilibrium point. Propositions on local stability of the coexistence equilubrium point is shown for both tritrophic and four trophic level food chain models. Basically, in this research, it is shown in a stable food chain model whether density of a species increases in response to greater mortality when (a) Prey, intermediate predator, top predator in a tritrophic system is harvested or not.