Survival analysis of stochastic competitive models in a polluted environment and stochastic competitive exclusion principle

M Liu, K Wang, Q Wu - Bulletin of mathematical biology, 2011 - Springer
Stochastic competitive models with pollution and without pollution are proposed and
studied. For the first system with pollution, sufficient criteria for extinction, nonpersistence in …

The effects of impulsive toxicant input on a population in a polluted environment

B Liu, L Chen, Y Zhang - Journal of Biological Systems, 2003 - World Scientific
In this paper, we investigate a single species model in a polluted closed environment with
pulse toxicant input at fixed moment. We show that the population is extinct when the …

On non-selective harvesting of two competing fish species in the presence of toxicity

TK Kar, KS Chaudhuri - Ecological Modelling, 2003 - Elsevier
The present paper deals with the problem of combined harvesting of two competing fish
species, each of which obeys the law of logistic growth and releases a substance toxic to the …

Modelling the interaction of two biological species in a polluted environment

B Dubey, J Hussain - Journal of Mathematical Analysis and Applications, 2000 - Elsevier
In this paper a mathematical model is proposed and analysed to study the effect of an
environmental pollutant on two interacting biological species. The interaction between the …

Persistence and extinction of a stochastic single-specie model under regime switching in a polluted environment

M Liu, K Wang - Journal of Theoretical Biology, 2010 - Elsevier
A new single-species model disturbed by both white noise and colored noise in a polluted
environment is developed and analyzed. Sufficient criteria for extinction, stochastic …

Survival analysis of stochastic single-species population models in polluted environments

M Liu, K Wang - Ecological Modelling, 2009 - Elsevier
This paper reports on the behaviors of single species models with and without pollution. We
consider three basic models, one is deterministic, and others are stochastic. We first …

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

B Dubey, AS Narayanan - Nonlinear Analysis: Real World Applications, 2010 - Elsevier
In this paper, a mathematical model is proposed and analysed to study the simultaneous
effect of industrialization, population and pollution on the depletion of a renewable resource …

A model for the allelopathic effect on two competing species

B Dubey, J Hussain - Ecological Modelling, 2000 - Elsevier
In this paper, a mathematical model is proposed and analysed to study the coexistence of
two competing plant species in a finite habitat by assuming that each species produces a …

Existence and survival of two competing species in a polluted environment: a mathematical model

JB Shukla, AK Agrawal, B Dubey… - Journal of Biological …, 2001 - World Scientific
In this paper, a nonlinear mathematical model to study the effect of a toxicant emitted into the
environment from external sources on two competing biological species is proposed and …

Stability and bionomic analysis of fuzzy prey–predator harvesting model in presence of toxicity: a dynamic approach

D Pal, GS Mahapatra, GP Samanta - Bulletin of Mathematical Biology, 2016 - Springer
This paper deals with a prey–predator model in which both the species are infected by some
toxicants which are released by some other species or source with fuzzy biological …