How do I keep the zombie moving towards the target?

wait(2)
function FindNearest(position)
    local lowest = math.huge -- infinity
    local NearestPlayer = nil
    for i,v in pairs(game.Players:GetPlayers()) do
        if v and v.Character then
            local distance = v:DistanceFromCharacter(position)
            if distance < lowest then
                lowest = distance
                NearestPlayer = v
            end
        end
    end
    return NearestPlayer
end

local PathfindingService = game:GetService("PathfindingService")
 
-- Variables for the zombie, its humanoid, and destination

local zombie = script.Parent
local humanoid = zombie.Humanoid
local destination = FindNearest(zombie.Torso.Position).Character
print(FindNearest(zombie.Torso.Position))

 
-- Create the path object
local path = PathfindingService:CreatePath()
 
-- Variables to store waypoints table and zombie's current waypoint
local waypoints
local currentWaypointIndex
 
local function followPath(destinationObject)
	-- Compute and check the path
	path:ComputeAsync(zombie.HumanoidRootPart.Position, destinationObject.PrimaryPart.Position)
	-- Empty waypoints table after each new path computation
	waypoints = {}
 
	if path.Status == Enum.PathStatus.Success then
		-- Get the path waypoints and start zombie walking
		waypoints = path:GetWaypoints()
		-- Move to first waypoint
		currentWaypointIndex = 1
		humanoid:MoveTo(waypoints[currentWaypointIndex].Position)
	else
		-- Error (path not found); stop humanoid
		humanoid:MoveTo(zombie.HumanoidRootPart.Position)
	end
end
 
local function onWaypointReached(reached)
	if reached and currentWaypointIndex < #waypoints then
		currentWaypointIndex = currentWaypointIndex + 1
		humanoid:MoveTo(waypoints[currentWaypointIndex].Position)
	end
end
 
local function onPathBlocked(blockedWaypointIndex)
	-- Check if the obstacle is further down the path
	if blockedWaypointIndex > currentWaypointIndex then
		-- Call function to re-compute the path
		followPath(destination)
	end
end
 
-- Connect 'Blocked' event to the 'onPathBlocked' function
path.Blocked:Connect(onPathBlocked)
 
-- Connect 'MoveToFinished' event to the 'onWaypointReached' function
humanoid.MoveToFinished:Connect(onWaypointReached)

followPath(destination)

Here is some code I stitched together for a zombie NPC I made. It works except once it makes it to the original position of the target it stops and doesn't move. I want it to keep finding a new path and continuing to follow the player and their new position. I tried placing a while loop at the end that reset the destination and re-found the path (shown below).

while wait(0.5) do
	local destination = FindNearest(zombie.Torso.Position).Character
	followPath(destination)
end

This worked for the most part except the movement was extremely jerky. Any suggestions would be great.

Hello! I think I may have the solution humanoid.MoveToFinished:Connect(onWaypointReached) does not fire any functions that create another path.

So for your lines of script:

local function onWaypointReached(reached)
        if reached and currentWaypointIndex < #waypoints then
	        currentWaypointIndex = currentWaypointIndex + 1
	        humanoid:MoveTo(waypoints[currentWaypointIndex].Position)
	end
end

Make it so it will repeatly create another path and follow it. I don't understand pathfindingservice so beware of my answer!