In this paper we develop several mathematical models of Allee effects. We start by defining the Allee effect as a phenomenon in which individual fitness increases with increasing density. Based on this biological assumption, we develop several fitness functions that produce corresponding models with Allee effects. In particular, a rational fitness function yields a new mathematical model that is our focus of study. Then we study the dynamics of 2-periodic systems with Allee effects and show the existence of an asymptotically stable 2-periodic carrying capacity
In this work, a modified Holling-Tanner predator-prey model with functional response Holling type II...
We present a stability analysis of steady-state solutions of a continuous-time predator– prey popu...
A new class of maps called unimodal Allee maps are introduced. Such maps arise in the study of popul...
In this paper we develop several mathematical models of Allee effects. We start by defining the Alle...
In this paper we develop several mathematical models of Allee effects. We start by defining the Alle...
In this paper we develop several mathematical models of Allee effects. We start by defining the Alle...
Allee effect refers to reduction of individual fitness at low population densi-ties. In this article...
This paper studies evolutionary dynamics of a species in the presence of the biological phenomenon k...
We take a well-known dynamic model of an isolated, unstructured population and modify this to includ...
The Allee effect is incorporated into a predator-prey model with linear functional response. Compare...
Allee effect arise when there is a positive association between average individual fitness or per ca...
Allee effect arise when there is a positive association between average individual fitness or per ca...
A discrete-time predator-prey model is proposed with Leslie-type numerical response, and the asymmet...
Abstract A Lotka–Volterra commensal symbiosis model with first species subject to the Allee effect i...
The search for more realistic models for interacting species has produced many adaptations of the or...
In this work, a modified Holling-Tanner predator-prey model with functional response Holling type II...
We present a stability analysis of steady-state solutions of a continuous-time predator– prey popu...
A new class of maps called unimodal Allee maps are introduced. Such maps arise in the study of popul...
In this paper we develop several mathematical models of Allee effects. We start by defining the Alle...
In this paper we develop several mathematical models of Allee effects. We start by defining the Alle...
In this paper we develop several mathematical models of Allee effects. We start by defining the Alle...
Allee effect refers to reduction of individual fitness at low population densi-ties. In this article...
This paper studies evolutionary dynamics of a species in the presence of the biological phenomenon k...
We take a well-known dynamic model of an isolated, unstructured population and modify this to includ...
The Allee effect is incorporated into a predator-prey model with linear functional response. Compare...
Allee effect arise when there is a positive association between average individual fitness or per ca...
Allee effect arise when there is a positive association between average individual fitness or per ca...
A discrete-time predator-prey model is proposed with Leslie-type numerical response, and the asymmet...
Abstract A Lotka–Volterra commensal symbiosis model with first species subject to the Allee effect i...
The search for more realistic models for interacting species has produced many adaptations of the or...
In this work, a modified Holling-Tanner predator-prey model with functional response Holling type II...
We present a stability analysis of steady-state solutions of a continuous-time predator– prey popu...
A new class of maps called unimodal Allee maps are introduced. Such maps arise in the study of popul...