model V0400 P0mod V0400 PC 19V0400 Pmodel 10 el 11V0400 P0mo

model -V0-400. P0mod -V0-400, PC 19-V0-400, P(model 10 el 11-V0-400, P0model 12 0 40 80 0 4080 0 4080 0 40 80 Time Time Time Time model 13-V0-400. PCmod -V0-400, PO el 13-V0-400, PO nod e114-V0-400, P0nodel 15 115-V0-400, P0nodel 16 |/L/L 0 40 80 0 4080 0 4080 0 40 80 Time Time Time Time 00E 00L 0009 000Z0 azis uoneIndod azIS uOleIndod 00G 00Z0 el0SZ 000 LO azIS uoneIndod azIS uOleIndod 008000 el 000 L 000 azIS uoneIndod azIS uoneIndod 11111 8 ne 0| st 40 78 000 L 000 el0G OOC OOL azIS uonelndod azIS uouelndod

Solution

The effects of predation on the population dynamics of predator and prey consists of varied patterns. In certain cases the predation has detrimental effect on prey population. Also in many cases, the predator has no effect on the prey population.

The Lotka-Volterra model consists of pair of differential equations which describe prey-predator population dynamics. The model assumptions are, 1. the prey population will grow exponentially when predator is not there, 2. Predator population will starve if prey population is not there 3. predators can consume any number of prey and also environment factors are not taken into consideration.

V0 - Vicitim population at day 1; P0 - Predator population at day 1

Model9 - V0=400, P0=0, In the absence of predator, the Prey population shot up to more than 1200 and as the Predator population increased to 200 in 10 days time, the Prey population went to 0. Then Predator popuation decreased due to starving and reduced to 0 in day 20. As the predator population decreased, the Prey population again increased and shot up to more than 1200 and again the Predator population increased. Like this the population dynamics was cyclic.

Like this from all the models, it can be inferenced that Predator and Prey population was cyclic.

This predator-prey system is stable and is able to sustain on itself without any immigration. There is no complete wipe out of the predators or the preys.