Modelling the survival of species dependent on a resource in a polluted environment

Dubey, B.; Hussain, Jamal

doi:10.1016/j.nonrwa.2005.02.003

Cited by 28 publications

(12 citation statements)

References 24 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…But low rate of formation of toxic substance due to some metabolic changes inside the resource biomass stabilizes the system. Dubey and Hussain [31] further studied the survival of a biological species which is dependent upon a resource and living in a polluted environment. They observed that the density of population is maximum when the population depends partially on the resource, and minimum when the populations is predating on the resource.…”

Section: Introductionmentioning

confidence: 99%

Modelling effects of industrialization, population and pollution on a renewable resource

Dubey

Narayanan

2010

Nonlinear Analysis: Real World Applications

Self Cite

View full text Add to dashboard Cite

Section: Introductionmentioning

confidence: 99%

Modelling effects of industrialization, population and pollution on a renewable resource

Dubey

Narayanan

2010

Nonlinear Analysis: Real World Applications

Self Cite

View full text Add to dashboard Cite

“…Although the dispersal system is a relatively simple model for the raid of prey species by predators in a spatial domain, the solutions exhibit an extensive spectrum of ecologically pertinent behavior. Spatiotemporal dynamics includes chaos and target patterns [13][14][15]. The study of such spatiotemporal dynamics is an intensive area of research, and there are still many unanswered questions concerning these solution types [15][16][17].…”

Section: Diffusive Structure and Its Dynamic Forcesmentioning

confidence: 99%

Diffusion Dynamics and Impact of Noise on a Discrete-Time Ratio-Dependent Model: An Analytical and Numerical Approach

Das

Srinivas

Gazi

2019

MCA

View full text Add to dashboard Cite

The paper deals with the dynamical behavior of a discrete-time ratio-dependent predator–prey system. The predator dependence is one of the main concerns of the system. The stability analysis of this 2-dimensional map was carried out analytically. Numerical simulation was carried out to verify the analytical results. We analyzed some specific features that could arise in discrete system. Basin of attraction was found for the endemic equilibrium state. We extended the numerical simulation for the maximal Lyapunov exponent. The presence of positive Lyapunov exponent indicated chaotic behavior of the map. The sensitive dependence on initial condition is one of the criteria for a discrete system. We showed that the system is sensitive on the initial conditions. We also carried out the analysis of diffusion and impact of noise.

show abstract

“…Several investigations were made to study the effect of pollutant on the survival of biological species (Austin, ; Davis, Newell, & Quinn, ; Dubey & Hussain, ; Kime, ; Mee & Bloxham, ; Mercaldo‐Allen, Kuropat, Greig, & Sennefelder, ; Shukla, Sharma, Dubey, & Sinha, ; Sindermann, ). Dubey and Hussain () studied survival of species dependent on a resource in a polluted environment. Hallam and De Luna () and De Luna and Hallam () discussed the important role played by pollutant uptaken by the resource.…”

Section: Introductionmentioning

confidence: 99%

Optimal harvesting of a renewable resource in a polluted environment: An allocation problem of the sole owner

Pichika

Zawka

2019

Natural Resource Modeling

View full text Add to dashboard Cite

This study presents an allocation problem of the sole owner between a renewable resource harvesting and pollution reduction. Decline in the revenues due to the presence of pollution in the environment drives the harvester to allocate a part of the available effort capacity towards pollution reduction through environmental treatment and pollutant inflow reduction to improve the resource growth as well as quality of the harvest. Hence, the interest is to find an optimal effort allocation to maximize the present value of the total net revenues on infinite horizon. Therefore, an optimal harvest problem on infinite horizon has been formulated, and it is solved using the standard techniques of optimal control. Results of the study highlight that allocating a part of the available effort capacity towards pollution reduction improves not only the revenue from the harvest but also survival rate of the resource. Key results of the study are demonstrated through numerical simulations. Recommendations for Resource Managers Effect of pollution on the live stock is adverse, and it should be considered as one of the important parameters in resource management objectives. The presence of pollution in the environment affects both the resource growth and quality of biomass, resulting in reduced revenue from the harvest. Pollution is inevitable (especially in developing countries), and hence investing a part of the available effort capacity on pollution reduction (instead of harvesting by the entire capacity) can be considered as an alternative to improve the revenue. Environmental treatment and pollutant inflow reduction are some of the activities that can be applied to reduce pollution. Results of this study provide an important information for the sole owner who faces a decline in the revenue from resource harvesting in a polluted environment.

show abstract

Modelling the survival of species dependent on a resource in a polluted environment

Cited by 28 publications

References 24 publications

Modelling effects of industrialization, population and pollution on a renewable resource

Modelling effects of industrialization, population and pollution on a renewable resource

Diffusion Dynamics and Impact of Noise on a Discrete-Time Ratio-Dependent Model: An Analytical and Numerical Approach

Optimal harvesting of a renewable resource in a polluted environment: An allocation problem of the sole owner

Contact Info

Product

Resources

About