The effect of nanoparticles on plankton dynamics: A mathematical model

Sourav Rana, Sudip Samanta, Sabyasachi Bhattacharya, Kamel Al-Khaled, Arunava Goswami, Joydev Chattopadhyay*

*المؤلف المقابل لهذا العمل

نتاج البحث: المساهمة في مجلةArticleمراجعة النظراء

18 اقتباسات (Scopus)


A simple modification of the Rosenzweig-MacArthur predator (zooplankton)-prey (phytoplankton) model with the interference of the predators by adding the effect of nanoparticles is proposed and analyzed. It is assumed that the effect of these particles has a potential to reduce the maximum physiological per-capita growth rate of the prey. The dynamics of nanoparticles is assumed to follow a simple Lotka-Volterra uptake term. Our study suggests that nanoparticle induce growth suppression of phytoplankton population can destabilize the system which leads to limit cycle oscillation. We also observe that if the contact rate of nanoparticles and phytoplankton increases, then the equilibrium densities of phytoplankton as well as zooplankton decrease. Furthermore, we observe that the depletion/removal of nanoparticles from the aquatic system plays a crucial role for the stable coexistence of both populations. Our investigation with various types of functional response suggests that Beddington functional response is the most appropriate representation of the interaction of phytoplankton-nanoparticles in comparison to other widely used functional responses.

اللغة الأصليةEnglish
الصفحات (من إلى)28-41
عدد الصفحات14
مستوى الصوت127
المعرِّفات الرقمية للأشياء
حالة النشرPublished - يناير 1 2015

ASJC Scopus subject areas

  • ???subjectarea.asjc.2600.2613???
  • ???subjectarea.asjc.2600.2611???
  • ???subjectarea.asjc.1300???
  • ???subjectarea.asjc.2600.2604???


أدرس بدقة موضوعات البحث “The effect of nanoparticles on plankton dynamics: A mathematical model'. فهما يشكلان معًا بصمة فريدة.

قم بذكر هذا