The research of A.Q.Khan and F.Nazir is partially supported by the Higher Education Commission of Pakistan.
Phytoplanktons are drifting plants in an aquatic system.They provide food for marine animals and are compared to terrestrial plants in that having chlorophyll and carrying out photosynthesis.Zooplanktons are drifting ...
The solution for phytoplankton-toxic phytoplankton-zooplankton system with qhomotopy analysis transform method(q-HATM)is discussed.The projected system exemplifies three components(namely,zooplankton,toxic-phytoplankt...
This work is supported by the National Natural Science Foundation of China (Grant Nos.11661050 and 11461041) and the HongLiu first-class disciplines Development Program of Lanzhou University of Technology.
In this paper, a delayed diffusive phytoplankton-zooplankton model with Beddington DeAngelis functional response and toxins is investigated. Existence of equilibria of the system are solved. The global asymptotic stab...
In this paper, we have investigated a model with three interacting species: non-toxic phy- toplankton, toxic phytoplankton and zooplankton with Holling type II and III functional responses over the space and time. Th...
In this paper, we investigate the dynamical behavior of a fractional order phytoplankton- zooplankton system. In this paper, stability analysis of the phytoplankton zooplankton model (PZM) is studied by using the fr...
In this work, we investigate the dynamical behavior of a fractional-order toxin producing on a phytoplankton-zooplankton (TPPZ) system with nutrient cycling. We propose a mathematical system to model this situation....
A dynamical model for toxin producing phytoplankton and zooplankton has been formu- lated and analyzed. Due to gestation of prey, a discrete time delay is incorporated in the predator dynamics. The stability of the de...